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Simplifying 10(2x + 2) + 20x = (50x + 80) + -1(10 + -20) Reorder the terms: 10(2 + 2x) + 20x = (50x + 80) + -1(10 + -20) (2 * 10 + 2x * 10) + 20x = (50x + 80) + -1(10 + -20) (20 + 20x) + 20x = (50x + 80) + -1(10 + -20) Combine like terms: 20x + 20x = 40x 20 + 40x = (50x + 80) + -1(10 + -20) Reorder the terms: 20 + 40x = (80 + 50x) + -1(10 + -20) Remove parenthesis around (80 + 50x) 20 + 40x = 80 + 50x + -1(10 + -20) Combine like terms: 10 + -20 = -10 20 + 40x = 80 + 50x + -1(-10) Multiply -1 * -10 20 + 40x = 80 + 50x + 10 Reorder the terms: 20 + 40x = 80 + 10 + 50x Combine like terms: 80 + 10 = 90 20 + 40x = 90 + 50x Solving 20 + 40x = 90 + 50x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-50x' to each side of the equation. 20 + 40x + -50x = 90 + 50x + -50x Combine like terms: 40x + -50x = -10x 20 + -10x = 90 + 50x + -50x Combine like terms: 50x + -50x = 0 20 + -10x = 90 + 0 20 + -10x = 90 Add '-20' to each side of the equation. 20 + -20 + -10x = 90 + -20 Combine like terms: 20 + -20 = 0 0 + -10x = 90 + -20 -10x = 90 + -20 Combine like terms: 90 + -20 = 70 -10x = 70 Divide each side by '-10'. x = -7 Simplifying x = -7
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