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\begin{tabular}{l}\( \qquad \frac{-11+x}{4}=-6 \) \\ Simplificar su respuesta tanto como sea posible. \\ \( x=\square \) \\ \hline\( \square \)\end{tabular}

Ask by Clark Love. in Ecuador
Feb 25,2025

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Tutor-Verified Answer

Answer

La solución es \( x = -13 \).

Solution

Solve the equation by following steps: - step0: Solve for \(x\): \(\frac{-11+x}{4}=-6\) - step1: Cross multiply: \(-11+x=4\left(-6\right)\) - step2: Simplify the equation: \(-11+x=-24\) - step3: Move the constant to the right side: \(x=-24+11\) - step4: Add the numbers: \(x=-13\) Para resolver la ecuación \( \frac{-11+x}{4}=-6 \), seguimos estos pasos: 1. **Multiplicamos ambos lados de la ecuación por 4** para eliminar el denominador: \[ -11 + x = -24 \] 2. **Sumamos 11 a ambos lados** de la ecuación: \[ x = -24 + 11 \] 3. **Realizamos la suma**: \[ x = -13 \] Por lo tanto, la solución es: \[ x = -13 \] Así que la respuesta es \( \square = -13 \).

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Simplify this solution

Mind Expander

Para resolver la ecuación \( \frac{-11 + x}{4} = -6 \), primero puedes multiplicar ambos lados por 4 para deshacerse del denominador: \( -11 + x = -24 \). Luego, suma 11 a ambos lados para aislar \( x \): \( x = -24 + 11 \). Simplificando, obtenemos \( x = -13 \). Por lo tanto, la solución es \( x = -13 \).

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