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Simplifying -8(x + -4) = 2(x + 6) Reorder the terms: -8(-4 + x) = 2(x + 6) (-4 * -8 + x * -8) = 2(x + 6) (32 + -8x) = 2(x + 6) Reorder the terms: 32 + -8x = 2(6 + x) 32 + -8x = (6 * 2 + x * 2) 32 + -8x = (12 + 2x) Solving 32 + -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. 32 + -8x + -2x = 12 + 2x + -2x Combine like terms: -8x + -2x = -10x 32 + -10x = 12 + 2x + -2x Combine like terms: 2x + -2x = 0 32 + -10x = 12 + 0 32 + -10x = 12 Add '-32' to each side of the equation. 32 + -32 + -10x = 12 + -32 Combine like terms: 32 + -32 = 0 0 + -10x = 12 + -32 -10x = 12 + -32 Combine like terms: 12 + -32 = -20 -10x = -20 Divide each side by '-10'. x = 2 Simplifying x = 2
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