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Simplifying 2(20 + x) = 3(20 + -1x) (20 * 2 + x * 2) = 3(20 + -1x) (40 + 2x) = 3(20 + -1x) 40 + 2x = (20 * 3 + -1x * 3) 40 + 2x = (60 + -3x) Solving 40 + 2x = 60 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 40 + 2x + 3x = 60 + -3x + 3x Combine like terms: 2x + 3x = 5x 40 + 5x = 60 + -3x + 3x Combine like terms: -3x + 3x = 0 40 + 5x = 60 + 0 40 + 5x = 60 Add '-40' to each side of the equation. 40 + -40 + 5x = 60 + -40 Combine like terms: 40 + -40 = 0 0 + 5x = 60 + -40 5x = 60 + -40 Combine like terms: 60 + -40 = 20 5x = 20 Divide each side by '5'. x = 4 Simplifying x = 4
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