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Simplifying 4(20x + 20) = 9(2x + 2) Reorder the terms: 4(20 + 20x) = 9(2x + 2) (20 * 4 + 20x * 4) = 9(2x + 2) (80 + 80x) = 9(2x + 2) Reorder the terms: 80 + 80x = 9(2 + 2x) 80 + 80x = (2 * 9 + 2x * 9) 80 + 80x = (18 + 18x) Solving 80 + 80x = 18 + 18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18x' to each side of the equation. 80 + 80x + -18x = 18 + 18x + -18x Combine like terms: 80x + -18x = 62x 80 + 62x = 18 + 18x + -18x Combine like terms: 18x + -18x = 0 80 + 62x = 18 + 0 80 + 62x = 18 Add '-80' to each side of the equation. 80 + -80 + 62x = 18 + -80 Combine like terms: 80 + -80 = 0 0 + 62x = 18 + -80 62x = 18 + -80 Combine like terms: 18 + -80 = -62 62x = -62 Divide each side by '62'. x = -1 Simplifying x = -1
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