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Simplifying -2(-3 + -5x) = 8x + 12 (-3 * -2 + -5x * -2) = 8x + 12 (6 + 10x) = 8x + 12 Reorder the terms: 6 + 10x = 12 + 8x Solving 6 + 10x = 12 + 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. 6 + 10x + -8x = 12 + 8x + -8x Combine like terms: 10x + -8x = 2x 6 + 2x = 12 + 8x + -8x Combine like terms: 8x + -8x = 0 6 + 2x = 12 + 0 6 + 2x = 12 Add '-6' to each side of the equation. 6 + -6 + 2x = 12 + -6 Combine like terms: 6 + -6 = 0 0 + 2x = 12 + -6 2x = 12 + -6 Combine like terms: 12 + -6 = 6 2x = 6 Divide each side by '2'. x = 3 Simplifying x = 3
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