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Simplifying 4(5x + 2) = 9(2x + 2) Reorder the terms: 4(2 + 5x) = 9(2x + 2) (2 * 4 + 5x * 4) = 9(2x + 2) (8 + 20x) = 9(2x + 2) Reorder the terms: 8 + 20x = 9(2 + 2x) 8 + 20x = (2 * 9 + 2x * 9) 8 + 20x = (18 + 18x) Solving 8 + 20x = 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. 8 + 20x + -18x = 18 + 18x + -18x Combine like terms: 20x + -18x = 2x 8 + 2x = 18 + 18x + -18x Combine like terms: 18x + -18x = 0 8 + 2x = 18 + 0 8 + 2x = 18 Add '-8' to each side of the equation. 8 + -8 + 2x = 18 + -8 Combine like terms: 8 + -8 = 0 0 + 2x = 18 + -8 2x = 18 + -8 Combine like terms: 18 + -8 = 10 2x = 10 Divide each side by '2'. x = 5 Simplifying x = 5
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