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Simplifying 4(5 + 20x) + -30x = 10(12 + x) (5 * 4 + 20x * 4) + -30x = 10(12 + x) (20 + 80x) + -30x = 10(12 + x) Combine like terms: 80x + -30x = 50x 20 + 50x = 10(12 + x) 20 + 50x = (12 * 10 + x * 10) 20 + 50x = (120 + 10x) Solving 20 + 50x = 120 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 20 + 50x + -10x = 120 + 10x + -10x Combine like terms: 50x + -10x = 40x 20 + 40x = 120 + 10x + -10x Combine like terms: 10x + -10x = 0 20 + 40x = 120 + 0 20 + 40x = 120 Add '-20' to each side of the equation. 20 + -20 + 40x = 120 + -20 Combine like terms: 20 + -20 = 0 0 + 40x = 120 + -20 40x = 120 + -20 Combine like terms: 120 + -20 = 100 40x = 100 Divide each side by '40'. x = 2.5 Simplifying x = 2.5
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