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Simplifying -4(3 + -4x) + -2(x + -1) = 12x (3 * -4 + -4x * -4) + -2(x + -1) = 12x (-12 + 16x) + -2(x + -1) = 12x Reorder the terms: -12 + 16x + -2(-1 + x) = 12x -12 + 16x + (-1 * -2 + x * -2) = 12x -12 + 16x + (2 + -2x) = 12x Reorder the terms: -12 + 2 + 16x + -2x = 12x Combine like terms: -12 + 2 = -10 -10 + 16x + -2x = 12x Combine like terms: 16x + -2x = 14x -10 + 14x = 12x Solving -10 + 14x = 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. -10 + 14x + -12x = 12x + -12x Combine like terms: 14x + -12x = 2x -10 + 2x = 12x + -12x Combine like terms: 12x + -12x = 0 -10 + 2x = 0 Add '10' to each side of the equation. -10 + 10 + 2x = 0 + 10 Combine like terms: -10 + 10 = 0 0 + 2x = 0 + 10 2x = 0 + 10 Combine like terms: 0 + 10 = 10 2x = 10 Divide each side by '2'. x = 5 Simplifying x = 5
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