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Simplifying 180 + -1x = 5(90 + -1x) + 10 180 + -1x = (90 * 5 + -1x * 5) + 10 180 + -1x = (450 + -5x) + 10 Reorder the terms: 180 + -1x = 450 + 10 + -5x Combine like terms: 450 + 10 = 460 180 + -1x = 460 + -5x Solving 180 + -1x = 460 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 180 + -1x + 5x = 460 + -5x + 5x Combine like terms: -1x + 5x = 4x 180 + 4x = 460 + -5x + 5x Combine like terms: -5x + 5x = 0 180 + 4x = 460 + 0 180 + 4x = 460 Add '-180' to each side of the equation. 180 + -180 + 4x = 460 + -180 Combine like terms: 180 + -180 = 0 0 + 4x = 460 + -180 4x = 460 + -180 Combine like terms: 460 + -180 = 280 4x = 280 Divide each side by '4'. x = 70 Simplifying x = 70
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