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Simplifying 8x + -1(3x + -7) = 3 + -1(5x + 6) Reorder the terms: 8x + -1(-7 + 3x) = 3 + -1(5x + 6) 8x + (-7 * -1 + 3x * -1) = 3 + -1(5x + 6) 8x + (7 + -3x) = 3 + -1(5x + 6) Reorder the terms: 7 + 8x + -3x = 3 + -1(5x + 6) Combine like terms: 8x + -3x = 5x 7 + 5x = 3 + -1(5x + 6) Reorder the terms: 7 + 5x = 3 + -1(6 + 5x) 7 + 5x = 3 + (6 * -1 + 5x * -1) 7 + 5x = 3 + (-6 + -5x) Combine like terms: 3 + -6 = -3 7 + 5x = -3 + -5x Solving 7 + 5x = -3 + -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. 7 + 5x + 5x = -3 + -5x + 5x Combine like terms: 5x + 5x = 10x 7 + 10x = -3 + -5x + 5x Combine like terms: -5x + 5x = 0 7 + 10x = -3 + 0 7 + 10x = -3 Add '-7' to each side of the equation. 7 + -7 + 10x = -3 + -7 Combine like terms: 7 + -7 = 0 0 + 10x = -3 + -7 10x = -3 + -7 Combine like terms: -3 + -7 = -10 10x = -10 Divide each side by '10'. x = -1 Simplifying x = -1
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