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Simplifying 180 = (2x + 30) + -1(1x + 20) Reorder the terms: 180 = (30 + 2x) + -1(1x + 20) Remove parenthesis around (30 + 2x) 180 = 30 + 2x + -1(1x + 20) Reorder the terms: 180 = 30 + 2x + -1(20 + 1x) 180 = 30 + 2x + (20 * -1 + 1x * -1) 180 = 30 + 2x + (-20 + -1x) Reorder the terms: 180 = 30 + -20 + 2x + -1x Combine like terms: 30 + -20 = 10 180 = 10 + 2x + -1x Combine like terms: 2x + -1x = 1x 180 = 10 + 1x Solving 180 = 10 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 180 + -1x = 10 + 1x + -1x Combine like terms: 1x + -1x = 0 180 + -1x = 10 + 0 180 + -1x = 10 Add '-180' to each side of the equation. 180 + -180 + -1x = 10 + -180 Combine like terms: 180 + -180 = 0 0 + -1x = 10 + -180 -1x = 10 + -180 Combine like terms: 10 + -180 = -170 -1x = -170 Divide each side by '-1'. x = 170 Simplifying x = 170
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