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Simplifying -5(-2x + -10) = 2(4x + 2) Reorder the terms: -5(-10 + -2x) = 2(4x + 2) (-10 * -5 + -2x * -5) = 2(4x + 2) (50 + 10x) = 2(4x + 2) Reorder the terms: 50 + 10x = 2(2 + 4x) 50 + 10x = (2 * 2 + 4x * 2) 50 + 10x = (4 + 8x) Solving 50 + 10x = 4 + 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. 50 + 10x + -8x = 4 + 8x + -8x Combine like terms: 10x + -8x = 2x 50 + 2x = 4 + 8x + -8x Combine like terms: 8x + -8x = 0 50 + 2x = 4 + 0 50 + 2x = 4 Add '-50' to each side of the equation. 50 + -50 + 2x = 4 + -50 Combine like terms: 50 + -50 = 0 0 + 2x = 4 + -50 2x = 4 + -50 Combine like terms: 4 + -50 = -46 2x = -46 Divide each side by '2'. x = -23 Simplifying x = -23
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