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Simplifying 7x + 8 + -2(-5x + -1) = 2(x + -1) Reorder the terms: 7x + 8 + -2(-1 + -5x) = 2(x + -1) 7x + 8 + (-1 * -2 + -5x * -2) = 2(x + -1) 7x + 8 + (2 + 10x) = 2(x + -1) Reorder the terms: 8 + 2 + 7x + 10x = 2(x + -1) Combine like terms: 8 + 2 = 10 10 + 7x + 10x = 2(x + -1) Combine like terms: 7x + 10x = 17x 10 + 17x = 2(x + -1) Reorder the terms: 10 + 17x = 2(-1 + x) 10 + 17x = (-1 * 2 + x * 2) 10 + 17x = (-2 + 2x) Solving 10 + 17x = -2 + 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. 10 + 17x + -2x = -2 + 2x + -2x Combine like terms: 17x + -2x = 15x 10 + 15x = -2 + 2x + -2x Combine like terms: 2x + -2x = 0 10 + 15x = -2 + 0 10 + 15x = -2 Add '-10' to each side of the equation. 10 + -10 + 15x = -2 + -10 Combine like terms: 10 + -10 = 0 0 + 15x = -2 + -10 15x = -2 + -10 Combine like terms: -2 + -10 = -12 15x = -12 Divide each side by '15'. x = -0.8 Simplifying x = -0.8
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