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Simplifying 4(-2x + 2) + 8x = -1(5x + 7) Reorder the terms: 4(2 + -2x) + 8x = -1(5x + 7) (2 * 4 + -2x * 4) + 8x = -1(5x + 7) (8 + -8x) + 8x = -1(5x + 7) Combine like terms: -8x + 8x = 0 8 + 0 = -1(5x + 7) 8 = -1(5x + 7) Reorder the terms: 8 = -1(7 + 5x) 8 = (7 * -1 + 5x * -1) 8 = (-7 + -5x) Solving 8 = -7 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 8 + 5x = -7 + -5x + 5x Combine like terms: -5x + 5x = 0 8 + 5x = -7 + 0 8 + 5x = -7 Add '-8' to each side of the equation. 8 + -8 + 5x = -7 + -8 Combine like terms: 8 + -8 = 0 0 + 5x = -7 + -8 5x = -7 + -8 Combine like terms: -7 + -8 = -15 5x = -15 Divide each side by '5'. x = -3 Simplifying x = -3
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