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Simplifying 7x + 8(x + 1) = -1(-2x + -10) Reorder the terms: 7x + 8(1 + x) = -1(-2x + -10) 7x + (1 * 8 + x * 8) = -1(-2x + -10) 7x + (8 + 8x) = -1(-2x + -10) Reorder the terms: 8 + 7x + 8x = -1(-2x + -10) Combine like terms: 7x + 8x = 15x 8 + 15x = -1(-2x + -10) Reorder the terms: 8 + 15x = -1(-10 + -2x) 8 + 15x = (-10 * -1 + -2x * -1) 8 + 15x = (10 + 2x) Solving 8 + 15x = 10 + 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. 8 + 15x + -2x = 10 + 2x + -2x Combine like terms: 15x + -2x = 13x 8 + 13x = 10 + 2x + -2x Combine like terms: 2x + -2x = 0 8 + 13x = 10 + 0 8 + 13x = 10 Add '-8' to each side of the equation. 8 + -8 + 13x = 10 + -8 Combine like terms: 8 + -8 = 0 0 + 13x = 10 + -8 13x = 10 + -8 Combine like terms: 10 + -8 = 2 13x = 2 Divide each side by '13'. x = 0.1538461538 Simplifying x = 0.1538461538
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