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Simplifying 2(3x + 1) + 4(5x + 2) = 9(2x + 4) Reorder the terms: 2(1 + 3x) + 4(5x + 2) = 9(2x + 4) (1 * 2 + 3x * 2) + 4(5x + 2) = 9(2x + 4) (2 + 6x) + 4(5x + 2) = 9(2x + 4) Reorder the terms: 2 + 6x + 4(2 + 5x) = 9(2x + 4) 2 + 6x + (2 * 4 + 5x * 4) = 9(2x + 4) 2 + 6x + (8 + 20x) = 9(2x + 4) Reorder the terms: 2 + 8 + 6x + 20x = 9(2x + 4) Combine like terms: 2 + 8 = 10 10 + 6x + 20x = 9(2x + 4) Combine like terms: 6x + 20x = 26x 10 + 26x = 9(2x + 4) Reorder the terms: 10 + 26x = 9(4 + 2x) 10 + 26x = (4 * 9 + 2x * 9) 10 + 26x = (36 + 18x) Solving 10 + 26x = 36 + 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. 10 + 26x + -18x = 36 + 18x + -18x Combine like terms: 26x + -18x = 8x 10 + 8x = 36 + 18x + -18x Combine like terms: 18x + -18x = 0 10 + 8x = 36 + 0 10 + 8x = 36 Add '-10' to each side of the equation. 10 + -10 + 8x = 36 + -10 Combine like terms: 10 + -10 = 0 0 + 8x = 36 + -10 8x = 36 + -10 Combine like terms: 36 + -10 = 26 8x = 26 Divide each side by '8'. x = 3.25 Simplifying x = 3.25
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