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Simplifying 10(x + 8) = 2(20x + 1) Reorder the terms: 10(8 + x) = 2(20x + 1) (8 * 10 + x * 10) = 2(20x + 1) (80 + 10x) = 2(20x + 1) Reorder the terms: 80 + 10x = 2(1 + 20x) 80 + 10x = (1 * 2 + 20x * 2) 80 + 10x = (2 + 40x) Solving 80 + 10x = 2 + 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 + 10x + -40x = 2 + 40x + -40x Combine like terms: 10x + -40x = -30x 80 + -30x = 2 + 40x + -40x Combine like terms: 40x + -40x = 0 80 + -30x = 2 + 0 80 + -30x = 2 Add '-80' to each side of the equation. 80 + -80 + -30x = 2 + -80 Combine like terms: 80 + -80 = 0 0 + -30x = 2 + -80 -30x = 2 + -80 Combine like terms: 2 + -80 = -78 -30x = -78 Divide each side by '-30'. x = 2.6 Simplifying x = 2.6
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