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Simplifying -2(-7x + -5) = -1(x + 5) Reorder the terms: -2(-5 + -7x) = -1(x + 5) (-5 * -2 + -7x * -2) = -1(x + 5) (10 + 14x) = -1(x + 5) Reorder the terms: 10 + 14x = -1(5 + x) 10 + 14x = (5 * -1 + x * -1) 10 + 14x = (-5 + -1x) Solving 10 + 14x = -5 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 10 + 14x + x = -5 + -1x + x Combine like terms: 14x + x = 15x 10 + 15x = -5 + -1x + x Combine like terms: -1x + x = 0 10 + 15x = -5 + 0 10 + 15x = -5 Add '-10' to each side of the equation. 10 + -10 + 15x = -5 + -10 Combine like terms: 10 + -10 = 0 0 + 15x = -5 + -10 15x = -5 + -10 Combine like terms: -5 + -10 = -15 15x = -15 Divide each side by '15'. x = -1 Simplifying x = -1
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