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Simplifying 12(x + -1) = 4(3 + -1x) + 8x Reorder the terms: 12(-1 + x) = 4(3 + -1x) + 8x (-1 * 12 + x * 12) = 4(3 + -1x) + 8x (-12 + 12x) = 4(3 + -1x) + 8x -12 + 12x = (3 * 4 + -1x * 4) + 8x -12 + 12x = (12 + -4x) + 8x Combine like terms: -4x + 8x = 4x -12 + 12x = 12 + 4x Solving -12 + 12x = 12 + 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. -12 + 12x + -4x = 12 + 4x + -4x Combine like terms: 12x + -4x = 8x -12 + 8x = 12 + 4x + -4x Combine like terms: 4x + -4x = 0 -12 + 8x = 12 + 0 -12 + 8x = 12 Add '12' to each side of the equation. -12 + 12 + 8x = 12 + 12 Combine like terms: -12 + 12 = 0 0 + 8x = 12 + 12 8x = 12 + 12 Combine like terms: 12 + 12 = 24 8x = 24 Divide each side by '8'. x = 3 Simplifying x = 3
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