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Simplifying 6(3x + -4) + 2(15 + -4x) + -3(3x + 3) = -2 Reorder the terms: 6(-4 + 3x) + 2(15 + -4x) + -3(3x + 3) = -2 (-4 * 6 + 3x * 6) + 2(15 + -4x) + -3(3x + 3) = -2 (-24 + 18x) + 2(15 + -4x) + -3(3x + 3) = -2 -24 + 18x + (15 * 2 + -4x * 2) + -3(3x + 3) = -2 -24 + 18x + (30 + -8x) + -3(3x + 3) = -2 Reorder the terms: -24 + 18x + 30 + -8x + -3(3 + 3x) = -2 -24 + 18x + 30 + -8x + (3 * -3 + 3x * -3) = -2 -24 + 18x + 30 + -8x + (-9 + -9x) = -2 Reorder the terms: -24 + 30 + -9 + 18x + -8x + -9x = -2 Combine like terms: -24 + 30 = 6 6 + -9 + 18x + -8x + -9x = -2 Combine like terms: 6 + -9 = -3 -3 + 18x + -8x + -9x = -2 Combine like terms: 18x + -8x = 10x -3 + 10x + -9x = -2 Combine like terms: 10x + -9x = 1x -3 + 1x = -2 Solving -3 + 1x = -2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 1x = -2 + 3 Combine like terms: -3 + 3 = 0 0 + 1x = -2 + 3 1x = -2 + 3 Combine like terms: -2 + 3 = 1 1x = 1 Divide each side by '1'. x = 1 Simplifying x = 1
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