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Simplifying 4(180 + -1x) + 8(90 + -1x) = 540 (180 * 4 + -1x * 4) + 8(90 + -1x) = 540 (720 + -4x) + 8(90 + -1x) = 540 720 + -4x + (90 * 8 + -1x * 8) = 540 720 + -4x + (720 + -8x) = 540 Reorder the terms: 720 + 720 + -4x + -8x = 540 Combine like terms: 720 + 720 = 1440 1440 + -4x + -8x = 540 Combine like terms: -4x + -8x = -12x 1440 + -12x = 540 Solving 1440 + -12x = 540 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1440' to each side of the equation. 1440 + -1440 + -12x = 540 + -1440 Combine like terms: 1440 + -1440 = 0 0 + -12x = 540 + -1440 -12x = 540 + -1440 Combine like terms: 540 + -1440 = -900 -12x = -900 Divide each side by '-12'. x = 75 Simplifying x = 75
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