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Simplifying 8 + -1(-2x + 1) = -15(x + 1) Reorder the terms: 8 + -1(1 + -2x) = -15(x + 1) 8 + (1 * -1 + -2x * -1) = -15(x + 1) 8 + (-1 + 2x) = -15(x + 1) Combine like terms: 8 + -1 = 7 7 + 2x = -15(x + 1) Reorder the terms: 7 + 2x = -15(1 + x) 7 + 2x = (1 * -15 + x * -15) 7 + 2x = (-15 + -15x) Solving 7 + 2x = -15 + -15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15x' to each side of the equation. 7 + 2x + 15x = -15 + -15x + 15x Combine like terms: 2x + 15x = 17x 7 + 17x = -15 + -15x + 15x Combine like terms: -15x + 15x = 0 7 + 17x = -15 + 0 7 + 17x = -15 Add '-7' to each side of the equation. 7 + -7 + 17x = -15 + -7 Combine like terms: 7 + -7 = 0 0 + 17x = -15 + -7 17x = -15 + -7 Combine like terms: -15 + -7 = -22 17x = -22 Divide each side by '17'. x = -1.294117647 Simplifying x = -1.294117647
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