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21. Given \( h(x)=-x-14 \), if \( h(x)=-2 \), find \( x \).

Ask by Clark Schwartz. in Guam
Feb 21,2025

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\( x=-12 \)

Solución

Solve the equation \( -x-14=-2 \). Solve the equation by following steps: - step0: Solve for \(x\): \(-x-14=-2\) - step1: Move the constant to the right side: \(-x=-2+14\) - step2: Add the numbers: \(-x=12\) - step3: Change the signs: \(x=-12\) The solution to the equation \( -x-14=-2 \) is \( x=-12 \).

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To solve for \( x \) when \( h(x) = -2 \), you start from the equation given for the function: \[ h(x) = -x - 14 \] Now, substitute \( -2 \) for \( h(x) \): \[ -2 = -x - 14 \] Next, add \( 14 \) to both sides: \[ -2 + 14 = -x \] \[ 12 = -x \] Now, multiply both sides by -1 to solve for \( x \): \[ x = -12 \] So, the answer is \( x = -12 \).

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