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Simplifying 5(90 + -1x) = 2(180 + -1x) (90 * 5 + -1x * 5) = 2(180 + -1x) (450 + -5x) = 2(180 + -1x) 450 + -5x = (180 * 2 + -1x * 2) 450 + -5x = (360 + -2x) Solving 450 + -5x = 360 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 450 + -5x + 2x = 360 + -2x + 2x Combine like terms: -5x + 2x = -3x 450 + -3x = 360 + -2x + 2x Combine like terms: -2x + 2x = 0 450 + -3x = 360 + 0 450 + -3x = 360 Add '-450' to each side of the equation. 450 + -450 + -3x = 360 + -450 Combine like terms: 450 + -450 = 0 0 + -3x = 360 + -450 -3x = 360 + -450 Combine like terms: 360 + -450 = -90 -3x = -90 Divide each side by '-3'. x = 30 Simplifying x = 30
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