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Simplifying -4(3 + -4x) + -1(x + -1) = 12x (3 * -4 + -4x * -4) + -1(x + -1) = 12x (-12 + 16x) + -1(x + -1) = 12x Reorder the terms: -12 + 16x + -1(-1 + x) = 12x -12 + 16x + (-1 * -1 + x * -1) = 12x -12 + 16x + (1 + -1x) = 12x Reorder the terms: -12 + 1 + 16x + -1x = 12x Combine like terms: -12 + 1 = -11 -11 + 16x + -1x = 12x Combine like terms: 16x + -1x = 15x -11 + 15x = 12x Solving -11 + 15x = 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. -11 + 15x + -12x = 12x + -12x Combine like terms: 15x + -12x = 3x -11 + 3x = 12x + -12x Combine like terms: 12x + -12x = 0 -11 + 3x = 0 Add '11' to each side of the equation. -11 + 11 + 3x = 0 + 11 Combine like terms: -11 + 11 = 0 0 + 3x = 0 + 11 3x = 0 + 11 Combine like terms: 0 + 11 = 11 3x = 11 Divide each side by '3'. x = 3.666666667 Simplifying x = 3.666666667
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