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Simplifying 2(x + -1) + -3(2x + -4) + -4(3x + 8) = 0 Reorder the terms: 2(-1 + x) + -3(2x + -4) + -4(3x + 8) = 0 (-1 * 2 + x * 2) + -3(2x + -4) + -4(3x + 8) = 0 (-2 + 2x) + -3(2x + -4) + -4(3x + 8) = 0 Reorder the terms: -2 + 2x + -3(-4 + 2x) + -4(3x + 8) = 0 -2 + 2x + (-4 * -3 + 2x * -3) + -4(3x + 8) = 0 -2 + 2x + (12 + -6x) + -4(3x + 8) = 0 Reorder the terms: -2 + 2x + 12 + -6x + -4(8 + 3x) = 0 -2 + 2x + 12 + -6x + (8 * -4 + 3x * -4) = 0 -2 + 2x + 12 + -6x + (-32 + -12x) = 0 Reorder the terms: -2 + 12 + -32 + 2x + -6x + -12x = 0 Combine like terms: -2 + 12 = 10 10 + -32 + 2x + -6x + -12x = 0 Combine like terms: 10 + -32 = -22 -22 + 2x + -6x + -12x = 0 Combine like terms: 2x + -6x = -4x -22 + -4x + -12x = 0 Combine like terms: -4x + -12x = -16x -22 + -16x = 0 Solving -22 + -16x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '22' to each side of the equation. -22 + 22 + -16x = 0 + 22 Combine like terms: -22 + 22 = 0 0 + -16x = 0 + 22 -16x = 0 + 22 Combine like terms: 0 + 22 = 22 -16x = 22 Divide each side by '-16'. x = -1.375 Simplifying x = -1.375
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