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Simplifying 2(5x + -1) = 10 + -2x Reorder the terms: 2(-1 + 5x) = 10 + -2x (-1 * 2 + 5x * 2) = 10 + -2x (-2 + 10x) = 10 + -2x Solving -2 + 10x = 10 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -2 + 10x + 2x = 10 + -2x + 2x Combine like terms: 10x + 2x = 12x -2 + 12x = 10 + -2x + 2x Combine like terms: -2x + 2x = 0 -2 + 12x = 10 + 0 -2 + 12x = 10 Add '2' to each side of the equation. -2 + 2 + 12x = 10 + 2 Combine like terms: -2 + 2 = 0 0 + 12x = 10 + 2 12x = 10 + 2 Combine like terms: 10 + 2 = 12 12x = 12 Divide each side by '12'. x = 1 Simplifying x = 1
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