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