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