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Simplifying 4(5x + 2) = 2(9x + 3) Reorder the terms: 4(2 + 5x) = 2(9x + 3) (2 * 4 + 5x * 4) = 2(9x + 3) (8 + 20x) = 2(9x + 3) Reorder the terms: 8 + 20x = 2(3 + 9x) 8 + 20x = (3 * 2 + 9x * 2) 8 + 20x = (6 + 18x) Solving 8 + 20x = 6 + 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 = 6 + 18x + -18x Combine like terms: 20x + -18x = 2x 8 + 2x = 6 + 18x + -18x Combine like terms: 18x + -18x = 0 8 + 2x = 6 + 0 8 + 2x = 6 Add '-8' to each side of the equation. 8 + -8 + 2x = 6 + -8 Combine like terms: 8 + -8 = 0 0 + 2x = 6 + -8 2x = 6 + -8 Combine like terms: 6 + -8 = -2 2x = -2 Divide each side by '2'. x = -1 Simplifying x = -1
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