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Simplifying 5(180 + -1x) = 2(180 + -1x) + -1(90 + -1x) + 15 (180 * 5 + -1x * 5) = 2(180 + -1x) + -1(90 + -1x) + 15 (900 + -5x) = 2(180 + -1x) + -1(90 + -1x) + 15 900 + -5x = (180 * 2 + -1x * 2) + -1(90 + -1x) + 15 900 + -5x = (360 + -2x) + -1(90 + -1x) + 15 900 + -5x = 360 + -2x + (90 * -1 + -1x * -1) + 15 900 + -5x = 360 + -2x + (-90 + 1x) + 15 Reorder the terms: 900 + -5x = 360 + -90 + 15 + -2x + 1x Combine like terms: 360 + -90 = 270 900 + -5x = 270 + 15 + -2x + 1x Combine like terms: 270 + 15 = 285 900 + -5x = 285 + -2x + 1x Combine like terms: -2x + 1x = -1x 900 + -5x = 285 + -1x Solving 900 + -5x = 285 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 900 + -5x + x = 285 + -1x + x Combine like terms: -5x + x = -4x 900 + -4x = 285 + -1x + x Combine like terms: -1x + x = 0 900 + -4x = 285 + 0 900 + -4x = 285 Add '-900' to each side of the equation. 900 + -900 + -4x = 285 + -900 Combine like terms: 900 + -900 = 0 0 + -4x = 285 + -900 -4x = 285 + -900 Combine like terms: 285 + -900 = -615 -4x = -615 Divide each side by '-4'. x = 153.75 Simplifying x = 153.75
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