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Simplifying 3(x + -4) + -2(x + -1) + -4(x + -2) = 12x Reorder the terms: 3(-4 + x) + -2(x + -1) + -4(x + -2) = 12x (-4 * 3 + x * 3) + -2(x + -1) + -4(x + -2) = 12x (-12 + 3x) + -2(x + -1) + -4(x + -2) = 12x Reorder the terms: -12 + 3x + -2(-1 + x) + -4(x + -2) = 12x -12 + 3x + (-1 * -2 + x * -2) + -4(x + -2) = 12x -12 + 3x + (2 + -2x) + -4(x + -2) = 12x Reorder the terms: -12 + 3x + 2 + -2x + -4(-2 + x) = 12x -12 + 3x + 2 + -2x + (-2 * -4 + x * -4) = 12x -12 + 3x + 2 + -2x + (8 + -4x) = 12x Reorder the terms: -12 + 2 + 8 + 3x + -2x + -4x = 12x Combine like terms: -12 + 2 = -10 -10 + 8 + 3x + -2x + -4x = 12x Combine like terms: -10 + 8 = -2 -2 + 3x + -2x + -4x = 12x Combine like terms: 3x + -2x = 1x -2 + 1x + -4x = 12x Combine like terms: 1x + -4x = -3x -2 + -3x = 12x Solving -2 + -3x = 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -2 + -3x + -12x = 12x + -12x Combine like terms: -3x + -12x = -15x -2 + -15x = 12x + -12x Combine like terms: 12x + -12x = 0 -2 + -15x = 0 Add '2' to each side of the equation. -2 + 2 + -15x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -15x = 0 + 2 -15x = 0 + 2 Combine like terms: 0 + 2 = 2 -15x = 2 Divide each side by '-15'. x = -0.1333333333 Simplifying x = -0.1333333333
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