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Simplifying 180 + -1x = [3(90 + -1x)] + -12 180 + -1x = [(90 * 3 + -1x * 3)] + -12 180 + -1x = [(270 + -3x)] + -12 180 + -1x = [270 + -3x] + -12 Remove brackets around [270 + -3x] 180 + -1x = 270 + -3x + -12 Reorder the terms: 180 + -1x = 270 + -12 + -3x Combine like terms: 270 + -12 = 258 180 + -1x = 258 + -3x Solving 180 + -1x = 258 + -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. 180 + -1x + 3x = 258 + -3x + 3x Combine like terms: -1x + 3x = 2x 180 + 2x = 258 + -3x + 3x Combine like terms: -3x + 3x = 0 180 + 2x = 258 + 0 180 + 2x = 258 Add '-180' to each side of the equation. 180 + -180 + 2x = 258 + -180 Combine like terms: 180 + -180 = 0 0 + 2x = 258 + -180 2x = 258 + -180 Combine like terms: 258 + -180 = 78 2x = 78 Divide each side by '2'. x = 39 Simplifying x = 39
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