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Simplifying 3(90 + -1x) + 2(180 + -1x) = 250 (90 * 3 + -1x * 3) + 2(180 + -1x) = 250 (270 + -3x) + 2(180 + -1x) = 250 270 + -3x + (180 * 2 + -1x * 2) = 250 270 + -3x + (360 + -2x) = 250 Reorder the terms: 270 + 360 + -3x + -2x = 250 Combine like terms: 270 + 360 = 630 630 + -3x + -2x = 250 Combine like terms: -3x + -2x = -5x 630 + -5x = 250 Solving 630 + -5x = 250 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-630' to each side of the equation. 630 + -630 + -5x = 250 + -630 Combine like terms: 630 + -630 = 0 0 + -5x = 250 + -630 -5x = 250 + -630 Combine like terms: 250 + -630 = -380 -5x = -380 Divide each side by '-5'. x = 76 Simplifying x = 76
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