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Simplifying 10x + 24(x + -5) = 118 Reorder the terms: 10x + 24(-5 + x) = 118 10x + (-5 * 24 + x * 24) = 118 10x + (-120 + 24x) = 118 Reorder the terms: -120 + 10x + 24x = 118 Combine like terms: 10x + 24x = 34x -120 + 34x = 118 Solving -120 + 34x = 118 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '120' to each side of the equation. -120 + 120 + 34x = 118 + 120 Combine like terms: -120 + 120 = 0 0 + 34x = 118 + 120 34x = 118 + 120 Combine like terms: 118 + 120 = 238 34x = 238 Divide each side by '34'. x = 7 Simplifying x = 7
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