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Simplifying -12 + -8x = 2x + 4(-3x + -6) Reorder the terms: -12 + -8x = 2x + 4(-6 + -3x) -12 + -8x = 2x + (-6 * 4 + -3x * 4) -12 + -8x = 2x + (-24 + -12x) Reorder the terms: -12 + -8x = -24 + 2x + -12x Combine like terms: 2x + -12x = -10x -12 + -8x = -24 + -10x Solving -12 + -8x = -24 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. -12 + -8x + 10x = -24 + -10x + 10x Combine like terms: -8x + 10x = 2x -12 + 2x = -24 + -10x + 10x Combine like terms: -10x + 10x = 0 -12 + 2x = -24 + 0 -12 + 2x = -24 Add '12' to each side of the equation. -12 + 12 + 2x = -24 + 12 Combine like terms: -12 + 12 = 0 0 + 2x = -24 + 12 2x = -24 + 12 Combine like terms: -24 + 12 = -12 2x = -12 Divide each side by '2'. x = -6 Simplifying x = -6
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