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Simplifying -4(2x + -8) + -8 = -12 + -2x Reorder the terms: -4(-8 + 2x) + -8 = -12 + -2x (-8 * -4 + 2x * -4) + -8 = -12 + -2x (32 + -8x) + -8 = -12 + -2x Reorder the terms: 32 + -8 + -8x = -12 + -2x Combine like terms: 32 + -8 = 24 24 + -8x = -12 + -2x Solving 24 + -8x = -12 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 24 + -8x + 2x = -12 + -2x + 2x Combine like terms: -8x + 2x = -6x 24 + -6x = -12 + -2x + 2x Combine like terms: -2x + 2x = 0 24 + -6x = -12 + 0 24 + -6x = -12 Add '-24' to each side of the equation. 24 + -24 + -6x = -12 + -24 Combine like terms: 24 + -24 = 0 0 + -6x = -12 + -24 -6x = -12 + -24 Combine like terms: -12 + -24 = -36 -6x = -36 Divide each side by '-6'. x = 6 Simplifying x = 6
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