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Simplifying 3(90 + -1x) + -1(180 + -1x) = 20 (90 * 3 + -1x * 3) + -1(180 + -1x) = 20 (270 + -3x) + -1(180 + -1x) = 20 270 + -3x + (180 * -1 + -1x * -1) = 20 270 + -3x + (-180 + 1x) = 20 Reorder the terms: 270 + -180 + -3x + 1x = 20 Combine like terms: 270 + -180 = 90 90 + -3x + 1x = 20 Combine like terms: -3x + 1x = -2x 90 + -2x = 20 Solving 90 + -2x = 20 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-90' to each side of the equation. 90 + -90 + -2x = 20 + -90 Combine like terms: 90 + -90 = 0 0 + -2x = 20 + -90 -2x = 20 + -90 Combine like terms: 20 + -90 = -70 -2x = -70 Divide each side by '-2'. x = 35 Simplifying x = 35
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