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Simplifying -4(x + -2) = -4(x + -8) + -8x Reorder the terms: -4(-2 + x) = -4(x + -8) + -8x (-2 * -4 + x * -4) = -4(x + -8) + -8x (8 + -4x) = -4(x + -8) + -8x Reorder the terms: 8 + -4x = -4(-8 + x) + -8x 8 + -4x = (-8 * -4 + x * -4) + -8x 8 + -4x = (32 + -4x) + -8x Combine like terms: -4x + -8x = -12x 8 + -4x = 32 + -12x Solving 8 + -4x = 32 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. 8 + -4x + 12x = 32 + -12x + 12x Combine like terms: -4x + 12x = 8x 8 + 8x = 32 + -12x + 12x Combine like terms: -12x + 12x = 0 8 + 8x = 32 + 0 8 + 8x = 32 Add '-8' to each side of the equation. 8 + -8 + 8x = 32 + -8 Combine like terms: 8 + -8 = 0 0 + 8x = 32 + -8 8x = 32 + -8 Combine like terms: 32 + -8 = 24 8x = 24 Divide each side by '8'. x = 3 Simplifying x = 3
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