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Simplifying 20 + (30x) = 40 + 30(1 + -1x) 20 + (30x) = 40 + (1 * 30 + -1x * 30) 20 + (30x) = 40 + (30 + -30x) Combine like terms: 40 + 30 = 70 20 + (30x) = 70 + -30x Solving 20 + (30x) = 70 + -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. 20 + (30x) + 30x = 70 + -30x + 30x Combine like terms: (30x) + 30x = 60x 20 + 60x = 70 + -30x + 30x Combine like terms: -30x + 30x = 0 20 + 60x = 70 + 0 20 + 60x = 70 Add '-20' to each side of the equation. 20 + -20 + 60x = 70 + -20 Combine like terms: 20 + -20 = 0 0 + 60x = 70 + -20 60x = 70 + -20 Combine like terms: 70 + -20 = 50 60x = 50 Divide each side by '60'. x = 0.8333333333 Simplifying x = 0.8333333333
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