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Simplifying -2(2x + 12) + 3(x + -5) + -4(2x + -1) = 0 Reorder the terms: -2(12 + 2x) + 3(x + -5) + -4(2x + -1) = 0 (12 * -2 + 2x * -2) + 3(x + -5) + -4(2x + -1) = 0 (-24 + -4x) + 3(x + -5) + -4(2x + -1) = 0 Reorder the terms: -24 + -4x + 3(-5 + x) + -4(2x + -1) = 0 -24 + -4x + (-5 * 3 + x * 3) + -4(2x + -1) = 0 -24 + -4x + (-15 + 3x) + -4(2x + -1) = 0 Reorder the terms: -24 + -4x + -15 + 3x + -4(-1 + 2x) = 0 -24 + -4x + -15 + 3x + (-1 * -4 + 2x * -4) = 0 -24 + -4x + -15 + 3x + (4 + -8x) = 0 Reorder the terms: -24 + -15 + 4 + -4x + 3x + -8x = 0 Combine like terms: -24 + -15 = -39 -39 + 4 + -4x + 3x + -8x = 0 Combine like terms: -39 + 4 = -35 -35 + -4x + 3x + -8x = 0 Combine like terms: -4x + 3x = -1x -35 + -1x + -8x = 0 Combine like terms: -1x + -8x = -9x -35 + -9x = 0 Solving -35 + -9x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '35' to each side of the equation. -35 + 35 + -9x = 0 + 35 Combine like terms: -35 + 35 = 0 0 + -9x = 0 + 35 -9x = 0 + 35 Combine like terms: 0 + 35 = 35 -9x = 35 Divide each side by '-9'. x = -3.888888889 Simplifying x = -3.888888889
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