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Simplifying -2(-5x + 7) = 8x Reorder the terms: -2(7 + -5x) = 8x (7 * -2 + -5x * -2) = 8x (-14 + 10x) = 8x Solving -14 + 10x = 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. -14 + 10x + -8x = 8x + -8x Combine like terms: 10x + -8x = 2x -14 + 2x = 8x + -8x Combine like terms: 8x + -8x = 0 -14 + 2x = 0 Add '14' to each side of the equation. -14 + 14 + 2x = 0 + 14 Combine like terms: -14 + 14 = 0 0 + 2x = 0 + 14 2x = 0 + 14 Combine like terms: 0 + 14 = 14 2x = 14 Divide each side by '2'. x = 7 Simplifying x = 7
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