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Simplifying 120 = 5(x + -65) + 70 Reorder the terms: 120 = 5(-65 + x) + 70 120 = (-65 * 5 + x * 5) + 70 120 = (-325 + 5x) + 70 Reorder the terms: 120 = -325 + 70 + 5x Combine like terms: -325 + 70 = -255 120 = -255 + 5x Solving 120 = -255 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 120 + -5x = -255 + 5x + -5x Combine like terms: 5x + -5x = 0 120 + -5x = -255 + 0 120 + -5x = -255 Add '-120' to each side of the equation. 120 + -120 + -5x = -255 + -120 Combine like terms: 120 + -120 = 0 0 + -5x = -255 + -120 -5x = -255 + -120 Combine like terms: -255 + -120 = -375 -5x = -375 Divide each side by '-5'. x = 75 Simplifying x = 75
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