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Simplifying 3(-6x + 2 + -8x) = -12x + 36 Reorder the terms: 3(2 + -6x + -8x) = -12x + 36 Combine like terms: -6x + -8x = -14x 3(2 + -14x) = -12x + 36 (2 * 3 + -14x * 3) = -12x + 36 (6 + -42x) = -12x + 36 Reorder the terms: 6 + -42x = 36 + -12x Solving 6 + -42x = 36 + -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. 6 + -42x + 12x = 36 + -12x + 12x Combine like terms: -42x + 12x = -30x 6 + -30x = 36 + -12x + 12x Combine like terms: -12x + 12x = 0 6 + -30x = 36 + 0 6 + -30x = 36 Add '-6' to each side of the equation. 6 + -6 + -30x = 36 + -6 Combine like terms: 6 + -6 = 0 0 + -30x = 36 + -6 -30x = 36 + -6 Combine like terms: 36 + -6 = 30 -30x = 30 Divide each side by '-30'. x = -1 Simplifying x = -1
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