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Simplifying 180 + -1x = 3(90 + -1x) + 10 180 + -1x = (90 * 3 + -1x * 3) + 10 180 + -1x = (270 + -3x) + 10 Reorder the terms: 180 + -1x = 270 + 10 + -3x Combine like terms: 270 + 10 = 280 180 + -1x = 280 + -3x Solving 180 + -1x = 280 + -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 = 280 + -3x + 3x Combine like terms: -1x + 3x = 2x 180 + 2x = 280 + -3x + 3x Combine like terms: -3x + 3x = 0 180 + 2x = 280 + 0 180 + 2x = 280 Add '-180' to each side of the equation. 180 + -180 + 2x = 280 + -180 Combine like terms: 180 + -180 = 0 0 + 2x = 280 + -180 2x = 280 + -180 Combine like terms: 280 + -180 = 100 2x = 100 Divide each side by '2'. x = 50 Simplifying x = 50
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