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Simplifying 100 = 90x + 120(1 + -1x) 100 = 90x + (1 * 120 + -1x * 120) 100 = 90x + (120 + -120x) Reorder the terms: 100 = 120 + 90x + -120x Combine like terms: 90x + -120x = -30x 100 = 120 + -30x Solving 100 = 120 + -30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '30x' to each side of the equation. 100 + 30x = 120 + -30x + 30x Combine like terms: -30x + 30x = 0 100 + 30x = 120 + 0 100 + 30x = 120 Add '-100' to each side of the equation. 100 + -100 + 30x = 120 + -100 Combine like terms: 100 + -100 = 0 0 + 30x = 120 + -100 30x = 120 + -100 Combine like terms: 120 + -100 = 20 30x = 20 Divide each side by '30'. x = 0.6666666667 Simplifying x = 0.6666666667
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