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Simplifying 100 + -2(10x + 10) = 20(2x + 1) Reorder the terms: 100 + -2(10 + 10x) = 20(2x + 1) 100 + (10 * -2 + 10x * -2) = 20(2x + 1) 100 + (-20 + -20x) = 20(2x + 1) Combine like terms: 100 + -20 = 80 80 + -20x = 20(2x + 1) Reorder the terms: 80 + -20x = 20(1 + 2x) 80 + -20x = (1 * 20 + 2x * 20) 80 + -20x = (20 + 40x) Solving 80 + -20x = 20 + 40x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-40x' to each side of the equation. 80 + -20x + -40x = 20 + 40x + -40x Combine like terms: -20x + -40x = -60x 80 + -60x = 20 + 40x + -40x Combine like terms: 40x + -40x = 0 80 + -60x = 20 + 0 80 + -60x = 20 Add '-80' to each side of the equation. 80 + -80 + -60x = 20 + -80 Combine like terms: 80 + -80 = 0 0 + -60x = 20 + -80 -60x = 20 + -80 Combine like terms: 20 + -80 = -60 -60x = -60 Divide each side by '-60'. x = 1 Simplifying x = 1
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