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Simplifying 180 + -1(5x + -60) = 180 + -1(15 + 2x + 3) Reorder the terms: 180 + -1(-60 + 5x) = 180 + -1(15 + 2x + 3) 180 + (-60 * -1 + 5x * -1) = 180 + -1(15 + 2x + 3) 180 + (60 + -5x) = 180 + -1(15 + 2x + 3) Combine like terms: 180 + 60 = 240 240 + -5x = 180 + -1(15 + 2x + 3) Reorder the terms: 240 + -5x = 180 + -1(15 + 3 + 2x) Combine like terms: 15 + 3 = 18 240 + -5x = 180 + -1(18 + 2x) 240 + -5x = 180 + (18 * -1 + 2x * -1) 240 + -5x = 180 + (-18 + -2x) Combine like terms: 180 + -18 = 162 240 + -5x = 162 + -2x Solving 240 + -5x = 162 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 240 + -5x + 2x = 162 + -2x + 2x Combine like terms: -5x + 2x = -3x 240 + -3x = 162 + -2x + 2x Combine like terms: -2x + 2x = 0 240 + -3x = 162 + 0 240 + -3x = 162 Add '-240' to each side of the equation. 240 + -240 + -3x = 162 + -240 Combine like terms: 240 + -240 = 0 0 + -3x = 162 + -240 -3x = 162 + -240 Combine like terms: 162 + -240 = -78 -3x = -78 Divide each side by '-3'. x = 26 Simplifying x = 26
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