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Simplifying 2(x + -4) = x + -1(12 + -3x) + -8 Reorder the terms: 2(-4 + x) = x + -1(12 + -3x) + -8 (-4 * 2 + x * 2) = x + -1(12 + -3x) + -8 (-8 + 2x) = x + -1(12 + -3x) + -8 -8 + 2x = x + (12 * -1 + -3x * -1) + -8 -8 + 2x = x + (-12 + 3x) + -8 Reorder the terms: -8 + 2x = -12 + -8 + x + 3x Combine like terms: -12 + -8 = -20 -8 + 2x = -20 + x + 3x Combine like terms: x + 3x = 4x -8 + 2x = -20 + 4x Solving -8 + 2x = -20 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -8 + 2x + -4x = -20 + 4x + -4x Combine like terms: 2x + -4x = -2x -8 + -2x = -20 + 4x + -4x Combine like terms: 4x + -4x = 0 -8 + -2x = -20 + 0 -8 + -2x = -20 Add '8' to each side of the equation. -8 + 8 + -2x = -20 + 8 Combine like terms: -8 + 8 = 0 0 + -2x = -20 + 8 -2x = -20 + 8 Combine like terms: -20 + 8 = -12 -2x = -12 Divide each side by '-2'. x = 6 Simplifying x = 6
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