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Simplifying 3(180 + -1x) = 2(190 + -1x) (180 * 3 + -1x * 3) = 2(190 + -1x) (540 + -3x) = 2(190 + -1x) 540 + -3x = (190 * 2 + -1x * 2) 540 + -3x = (380 + -2x) Solving 540 + -3x = 380 + -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. 540 + -3x + 2x = 380 + -2x + 2x Combine like terms: -3x + 2x = -1x 540 + -1x = 380 + -2x + 2x Combine like terms: -2x + 2x = 0 540 + -1x = 380 + 0 540 + -1x = 380 Add '-540' to each side of the equation. 540 + -540 + -1x = 380 + -540 Combine like terms: 540 + -540 = 0 0 + -1x = 380 + -540 -1x = 380 + -540 Combine like terms: 380 + -540 = -160 -1x = -160 Divide each side by '-1'. x = 160 Simplifying x = 160
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