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Simplifying 2(5 + -2x) = -1(7x + 5) (5 * 2 + -2x * 2) = -1(7x + 5) (10 + -4x) = -1(7x + 5) Reorder the terms: 10 + -4x = -1(5 + 7x) 10 + -4x = (5 * -1 + 7x * -1) 10 + -4x = (-5 + -7x) Solving 10 + -4x = -5 + -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. 10 + -4x + 7x = -5 + -7x + 7x Combine like terms: -4x + 7x = 3x 10 + 3x = -5 + -7x + 7x Combine like terms: -7x + 7x = 0 10 + 3x = -5 + 0 10 + 3x = -5 Add '-10' to each side of the equation. 10 + -10 + 3x = -5 + -10 Combine like terms: 10 + -10 = 0 0 + 3x = -5 + -10 3x = -5 + -10 Combine like terms: -5 + -10 = -15 3x = -15 Divide each side by '3'. x = -5 Simplifying x = -5
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