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Simplifying -4(x + -1) + -12 = 6x + 2 Reorder the terms: -4(-1 + x) + -12 = 6x + 2 (-1 * -4 + x * -4) + -12 = 6x + 2 (4 + -4x) + -12 = 6x + 2 Reorder the terms: 4 + -12 + -4x = 6x + 2 Combine like terms: 4 + -12 = -8 -8 + -4x = 6x + 2 Reorder the terms: -8 + -4x = 2 + 6x Solving -8 + -4x = 2 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -8 + -4x + -6x = 2 + 6x + -6x Combine like terms: -4x + -6x = -10x -8 + -10x = 2 + 6x + -6x Combine like terms: 6x + -6x = 0 -8 + -10x = 2 + 0 -8 + -10x = 2 Add '8' to each side of the equation. -8 + 8 + -10x = 2 + 8 Combine like terms: -8 + 8 = 0 0 + -10x = 2 + 8 -10x = 2 + 8 Combine like terms: 2 + 8 = 10 -10x = 10 Divide each side by '-10'. x = -1 Simplifying x = -1
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