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Simplifying -4(2x + -3) + 2(2x + -1) + -1(-1x + -4) = 0 Reorder the terms: -4(-3 + 2x) + 2(2x + -1) + -1(-1x + -4) = 0 (-3 * -4 + 2x * -4) + 2(2x + -1) + -1(-1x + -4) = 0 (12 + -8x) + 2(2x + -1) + -1(-1x + -4) = 0 Reorder the terms: 12 + -8x + 2(-1 + 2x) + -1(-1x + -4) = 0 12 + -8x + (-1 * 2 + 2x * 2) + -1(-1x + -4) = 0 12 + -8x + (-2 + 4x) + -1(-1x + -4) = 0 Reorder the terms: 12 + -8x + -2 + 4x + -1(-4 + -1x) = 0 12 + -8x + -2 + 4x + (-4 * -1 + -1x * -1) = 0 12 + -8x + -2 + 4x + (4 + 1x) = 0 Reorder the terms: 12 + -2 + 4 + -8x + 4x + 1x = 0 Combine like terms: 12 + -2 = 10 10 + 4 + -8x + 4x + 1x = 0 Combine like terms: 10 + 4 = 14 14 + -8x + 4x + 1x = 0 Combine like terms: -8x + 4x = -4x 14 + -4x + 1x = 0 Combine like terms: -4x + 1x = -3x 14 + -3x = 0 Solving 14 + -3x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + -3x = 0 + -14 Combine like terms: 14 + -14 = 0 0 + -3x = 0 + -14 -3x = 0 + -14 Combine like terms: 0 + -14 = -14 -3x = -14 Divide each side by '-3'. x = 4.666666667 Simplifying x = 4.666666667
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