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Simplifying 17 + -8x = -10(x + 1) + 7 Reorder the terms: 17 + -8x = -10(1 + x) + 7 17 + -8x = (1 * -10 + x * -10) + 7 17 + -8x = (-10 + -10x) + 7 Reorder the terms: 17 + -8x = -10 + 7 + -10x Combine like terms: -10 + 7 = -3 17 + -8x = -3 + -10x Solving 17 + -8x = -3 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. 17 + -8x + 10x = -3 + -10x + 10x Combine like terms: -8x + 10x = 2x 17 + 2x = -3 + -10x + 10x Combine like terms: -10x + 10x = 0 17 + 2x = -3 + 0 17 + 2x = -3 Add '-17' to each side of the equation. 17 + -17 + 2x = -3 + -17 Combine like terms: 17 + -17 = 0 0 + 2x = -3 + -17 2x = -3 + -17 Combine like terms: -3 + -17 = -20 2x = -20 Divide each side by '2'. x = -10 Simplifying x = -10
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