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Simplifying (100 + -1x) + (40 + -0.5x) = 20 Remove parenthesis around (100 + -1x) 100 + -1x + (40 + -0.5x) = 20 Remove parenthesis around (40 + -0.5x) 100 + -1x + 40 + -0.5x = 20 Reorder the terms: 100 + 40 + -1x + -0.5x = 20 Combine like terms: 100 + 40 = 140 140 + -1x + -0.5x = 20 Combine like terms: -1x + -0.5x = -1.5x 140 + -1.5x = 20 Solving 140 + -1.5x = 20 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-140' to each side of the equation. 140 + -140 + -1.5x = 20 + -140 Combine like terms: 140 + -140 = 0 0 + -1.5x = 20 + -140 -1.5x = 20 + -140 Combine like terms: 20 + -140 = -120 -1.5x = -120 Divide each side by '-1.5'. x = 80 Simplifying x = 80
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