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Simplifying 2(5x + 9) + 4(3x + 2) = 6(5x + 9) + 3 Reorder the terms: 2(9 + 5x) + 4(3x + 2) = 6(5x + 9) + 3 (9 * 2 + 5x * 2) + 4(3x + 2) = 6(5x + 9) + 3 (18 + 10x) + 4(3x + 2) = 6(5x + 9) + 3 Reorder the terms: 18 + 10x + 4(2 + 3x) = 6(5x + 9) + 3 18 + 10x + (2 * 4 + 3x * 4) = 6(5x + 9) + 3 18 + 10x + (8 + 12x) = 6(5x + 9) + 3 Reorder the terms: 18 + 8 + 10x + 12x = 6(5x + 9) + 3 Combine like terms: 18 + 8 = 26 26 + 10x + 12x = 6(5x + 9) + 3 Combine like terms: 10x + 12x = 22x 26 + 22x = 6(5x + 9) + 3 Reorder the terms: 26 + 22x = 6(9 + 5x) + 3 26 + 22x = (9 * 6 + 5x * 6) + 3 26 + 22x = (54 + 30x) + 3 Reorder the terms: 26 + 22x = 54 + 3 + 30x Combine like terms: 54 + 3 = 57 26 + 22x = 57 + 30x Solving 26 + 22x = 57 + 30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30x' to each side of the equation. 26 + 22x + -30x = 57 + 30x + -30x Combine like terms: 22x + -30x = -8x 26 + -8x = 57 + 30x + -30x Combine like terms: 30x + -30x = 0 26 + -8x = 57 + 0 26 + -8x = 57 Add '-26' to each side of the equation. 26 + -26 + -8x = 57 + -26 Combine like terms: 26 + -26 = 0 0 + -8x = 57 + -26 -8x = 57 + -26 Combine like terms: 57 + -26 = 31 -8x = 31 Divide each side by '-8'. x = -3.875 Simplifying x = -3.875
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