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Simplifying 10 + -1(5x + -36) = -1(50 + 7x) Reorder the terms: 10 + -1(-36 + 5x) = -1(50 + 7x) 10 + (-36 * -1 + 5x * -1) = -1(50 + 7x) 10 + (36 + -5x) = -1(50 + 7x) Combine like terms: 10 + 36 = 46 46 + -5x = -1(50 + 7x) 46 + -5x = (50 * -1 + 7x * -1) 46 + -5x = (-50 + -7x) Solving 46 + -5x = -50 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 46 + -5x + 7x = -50 + -7x + 7x Combine like terms: -5x + 7x = 2x 46 + 2x = -50 + -7x + 7x Combine like terms: -7x + 7x = 0 46 + 2x = -50 + 0 46 + 2x = -50 Add '-46' to each side of the equation. 46 + -46 + 2x = -50 + -46 Combine like terms: 46 + -46 = 0 0 + 2x = -50 + -46 2x = -50 + -46 Combine like terms: -50 + -46 = -96 2x = -96 Divide each side by '2'. x = -48 Simplifying x = -48
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