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Simplifying -2(-6x + -4) = 8x + 2(x + -2) Reorder the terms: -2(-4 + -6x) = 8x + 2(x + -2) (-4 * -2 + -6x * -2) = 8x + 2(x + -2) (8 + 12x) = 8x + 2(x + -2) Reorder the terms: 8 + 12x = 8x + 2(-2 + x) 8 + 12x = 8x + (-2 * 2 + x * 2) 8 + 12x = 8x + (-4 + 2x) Reorder the terms: 8 + 12x = -4 + 8x + 2x Combine like terms: 8x + 2x = 10x 8 + 12x = -4 + 10x Solving 8 + 12x = -4 + 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. 8 + 12x + -10x = -4 + 10x + -10x Combine like terms: 12x + -10x = 2x 8 + 2x = -4 + 10x + -10x Combine like terms: 10x + -10x = 0 8 + 2x = -4 + 0 8 + 2x = -4 Add '-8' to each side of the equation. 8 + -8 + 2x = -4 + -8 Combine like terms: 8 + -8 = 0 0 + 2x = -4 + -8 2x = -4 + -8 Combine like terms: -4 + -8 = -12 2x = -12 Divide each side by '2'. x = -6 Simplifying x = -6
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