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Simplifying 120 = x + (x + 10) + (x + 65) Reorder the terms: 120 = x + (10 + x) + (x + 65) Remove parenthesis around (10 + x) 120 = x + 10 + x + (x + 65) Reorder the terms: 120 = x + 10 + x + (65 + x) Remove parenthesis around (65 + x) 120 = x + 10 + x + 65 + x Reorder the terms: 120 = 10 + 65 + x + x + x Combine like terms: 10 + 65 = 75 120 = 75 + x + x + x Combine like terms: x + x = 2x 120 = 75 + 2x + x Combine like terms: 2x + x = 3x 120 = 75 + 3x Solving 120 = 75 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 120 + -3x = 75 + 3x + -3x Combine like terms: 3x + -3x = 0 120 + -3x = 75 + 0 120 + -3x = 75 Add '-120' to each side of the equation. 120 + -120 + -3x = 75 + -120 Combine like terms: 120 + -120 = 0 0 + -3x = 75 + -120 -3x = 75 + -120 Combine like terms: 75 + -120 = -45 -3x = -45 Divide each side by '-3'. x = 15 Simplifying x = 15
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