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Simplifying 2(20 + x) = 5(30 + -1x) (20 * 2 + x * 2) = 5(30 + -1x) (40 + 2x) = 5(30 + -1x) 40 + 2x = (30 * 5 + -1x * 5) 40 + 2x = (150 + -5x) Solving 40 + 2x = 150 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 40 + 2x + 5x = 150 + -5x + 5x Combine like terms: 2x + 5x = 7x 40 + 7x = 150 + -5x + 5x Combine like terms: -5x + 5x = 0 40 + 7x = 150 + 0 40 + 7x = 150 Add '-40' to each side of the equation. 40 + -40 + 7x = 150 + -40 Combine like terms: 40 + -40 = 0 0 + 7x = 150 + -40 7x = 150 + -40 Combine like terms: 150 + -40 = 110 7x = 110 Divide each side by '7'. x = 15.71428571 Simplifying x = 15.71428571
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