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Simplifying 2(90 + -1x) + 3(180 + -1x) = 580 + 2x (90 * 2 + -1x * 2) + 3(180 + -1x) = 580 + 2x (180 + -2x) + 3(180 + -1x) = 580 + 2x 180 + -2x + (180 * 3 + -1x * 3) = 580 + 2x 180 + -2x + (540 + -3x) = 580 + 2x Reorder the terms: 180 + 540 + -2x + -3x = 580 + 2x Combine like terms: 180 + 540 = 720 720 + -2x + -3x = 580 + 2x Combine like terms: -2x + -3x = -5x 720 + -5x = 580 + 2x Solving 720 + -5x = 580 + 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. 720 + -5x + -2x = 580 + 2x + -2x Combine like terms: -5x + -2x = -7x 720 + -7x = 580 + 2x + -2x Combine like terms: 2x + -2x = 0 720 + -7x = 580 + 0 720 + -7x = 580 Add '-720' to each side of the equation. 720 + -720 + -7x = 580 + -720 Combine like terms: 720 + -720 = 0 0 + -7x = 580 + -720 -7x = 580 + -720 Combine like terms: 580 + -720 = -140 -7x = -140 Divide each side by '-7'. x = 20 Simplifying x = 20
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