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Simplifying -2(3x + -6) = 10 + -8x Reorder the terms: -2(-6 + 3x) = 10 + -8x (-6 * -2 + 3x * -2) = 10 + -8x (12 + -6x) = 10 + -8x Solving 12 + -6x = 10 + -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. 12 + -6x + 8x = 10 + -8x + 8x Combine like terms: -6x + 8x = 2x 12 + 2x = 10 + -8x + 8x Combine like terms: -8x + 8x = 0 12 + 2x = 10 + 0 12 + 2x = 10 Add '-12' to each side of the equation. 12 + -12 + 2x = 10 + -12 Combine like terms: 12 + -12 = 0 0 + 2x = 10 + -12 2x = 10 + -12 Combine like terms: 10 + -12 = -2 2x = -2 Divide each side by '2'. x = -1 Simplifying x = -1
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