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Simplifying (3x + 5) + -1(2x + -15) + 20 = 180 Reorder the terms: (5 + 3x) + -1(2x + -15) + 20 = 180 Remove parenthesis around (5 + 3x) 5 + 3x + -1(2x + -15) + 20 = 180 Reorder the terms: 5 + 3x + -1(-15 + 2x) + 20 = 180 5 + 3x + (-15 * -1 + 2x * -1) + 20 = 180 5 + 3x + (15 + -2x) + 20 = 180 Reorder the terms: 5 + 15 + 20 + 3x + -2x = 180 Combine like terms: 5 + 15 = 20 20 + 20 + 3x + -2x = 180 Combine like terms: 20 + 20 = 40 40 + 3x + -2x = 180 Combine like terms: 3x + -2x = 1x 40 + 1x = 180 Solving 40 + 1x = 180 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-40' to each side of the equation. 40 + -40 + 1x = 180 + -40 Combine like terms: 40 + -40 = 0 0 + 1x = 180 + -40 1x = 180 + -40 Combine like terms: 180 + -40 = 140 1x = 140 Divide each side by '1'. x = 140 Simplifying x = 140
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