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