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Simplifying 2(3x + -4) + -3(6x + 4) + 3(x + 4) = 15 Reorder the terms: 2(-4 + 3x) + -3(6x + 4) + 3(x + 4) = 15 (-4 * 2 + 3x * 2) + -3(6x + 4) + 3(x + 4) = 15 (-8 + 6x) + -3(6x + 4) + 3(x + 4) = 15 Reorder the terms: -8 + 6x + -3(4 + 6x) + 3(x + 4) = 15 -8 + 6x + (4 * -3 + 6x * -3) + 3(x + 4) = 15 -8 + 6x + (-12 + -18x) + 3(x + 4) = 15 Reorder the terms: -8 + 6x + -12 + -18x + 3(4 + x) = 15 -8 + 6x + -12 + -18x + (4 * 3 + x * 3) = 15 -8 + 6x + -12 + -18x + (12 + 3x) = 15 Reorder the terms: -8 + -12 + 12 + 6x + -18x + 3x = 15 Combine like terms: -8 + -12 = -20 -20 + 12 + 6x + -18x + 3x = 15 Combine like terms: -20 + 12 = -8 -8 + 6x + -18x + 3x = 15 Combine like terms: 6x + -18x = -12x -8 + -12x + 3x = 15 Combine like terms: -12x + 3x = -9x -8 + -9x = 15 Solving -8 + -9x = 15 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + -9x = 15 + 8 Combine like terms: -8 + 8 = 0 0 + -9x = 15 + 8 -9x = 15 + 8 Combine like terms: 15 + 8 = 23 -9x = 23 Divide each side by '-9'. x = -2.555555556 Simplifying x = -2.555555556
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