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Simplifying 2(3 + -7) + 4(3x + 2) = 6(5x + 9) + 3 Combine like terms: 3 + -7 = -4 2(-4) + 4(3x + 2) = 6(5x + 9) + 3 Multiply 2 * -4 -8 + 4(3x + 2) = 6(5x + 9) + 3 Reorder the terms: -8 + 4(2 + 3x) = 6(5x + 9) + 3 -8 + (2 * 4 + 3x * 4) = 6(5x + 9) + 3 -8 + (8 + 12x) = 6(5x + 9) + 3 Combine like terms: -8 + 8 = 0 0 + 12x = 6(5x + 9) + 3 12x = 6(5x + 9) + 3 Reorder the terms: 12x = 6(9 + 5x) + 3 12x = (9 * 6 + 5x * 6) + 3 12x = (54 + 30x) + 3 Reorder the terms: 12x = 54 + 3 + 30x Combine like terms: 54 + 3 = 57 12x = 57 + 30x Solving 12x = 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. 12x + -30x = 57 + 30x + -30x Combine like terms: 12x + -30x = -18x -18x = 57 + 30x + -30x Combine like terms: 30x + -30x = 0 -18x = 57 + 0 -18x = 57 Divide each side by '-18'. x = -3.166666667 Simplifying x = -3.166666667
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