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Simplifying 5(90 + -1x) + -2(180 + -1x) = 45 (90 * 5 + -1x * 5) + -2(180 + -1x) = 45 (450 + -5x) + -2(180 + -1x) = 45 450 + -5x + (180 * -2 + -1x * -2) = 45 450 + -5x + (-360 + 2x) = 45 Reorder the terms: 450 + -360 + -5x + 2x = 45 Combine like terms: 450 + -360 = 90 90 + -5x + 2x = 45 Combine like terms: -5x + 2x = -3x 90 + -3x = 45 Solving 90 + -3x = 45 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 + -3x = 45 + -90 Combine like terms: 90 + -90 = 0 0 + -3x = 45 + -90 -3x = 45 + -90 Combine like terms: 45 + -90 = -45 -3x = -45 Divide each side by '-3'. x = 15 Simplifying x = 15
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