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