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Simplifying -4(x + -6) = 8x + 36 Reorder the terms: -4(-6 + x) = 8x + 36 (-6 * -4 + x * -4) = 8x + 36 (24 + -4x) = 8x + 36 Reorder the terms: 24 + -4x = 36 + 8x Solving 24 + -4x = 36 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 24 + -4x + -8x = 36 + 8x + -8x Combine like terms: -4x + -8x = -12x 24 + -12x = 36 + 8x + -8x Combine like terms: 8x + -8x = 0 24 + -12x = 36 + 0 24 + -12x = 36 Add '-24' to each side of the equation. 24 + -24 + -12x = 36 + -24 Combine like terms: 24 + -24 = 0 0 + -12x = 36 + -24 -12x = 36 + -24 Combine like terms: 36 + -24 = 12 -12x = 12 Divide each side by '-12'. x = -1 Simplifying x = -1
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