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\begin{tabular}{l} Solve for \( x \) \\ \( \qquad 11=-x+160 \) \\ \( x=\square \) \\ \hline\end{tabular}

Ask by Floyd Rose. in the United States
Mar 12,2025

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\( x=149 \)

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To solve for \( x \) in the equation \( 11 = -x + 160 \), you can start by isolating \( x \). First, subtract 160 from both sides: \[ 11 - 160 = -x \] This simplifies to: \[ -149 = -x \] Next, multiply both sides by -1 to solve for \( x \): \[ x = 149 \] Thus, the solution is \( x = 149 \). Now, let's dive into the intriguing world of equations! Understanding linear equations like this one can be a gateway into more complex algebraic concepts. When you simplify and isolate variables, you unlock the door to solving not just math problems, but real-life situations like budgeting, planning, or even engineering! Moreover, a common mistake is to forget to change the sign when removing terms from one side of the equation, particularly when dealing with negatives. Always double-check your steps! Practicing with a variety of similar equations will increase your comfort and proficiency, making math feel less like a chore and more like a game!

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