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Simplifying 8(2x + 1) + -1(x + -9) = -52 + -8x Reorder the terms: 8(1 + 2x) + -1(x + -9) = -52 + -8x (1 * 8 + 2x * 8) + -1(x + -9) = -52 + -8x (8 + 16x) + -1(x + -9) = -52 + -8x Reorder the terms: 8 + 16x + -1(-9 + x) = -52 + -8x 8 + 16x + (-9 * -1 + x * -1) = -52 + -8x 8 + 16x + (9 + -1x) = -52 + -8x Reorder the terms: 8 + 9 + 16x + -1x = -52 + -8x Combine like terms: 8 + 9 = 17 17 + 16x + -1x = -52 + -8x Combine like terms: 16x + -1x = 15x 17 + 15x = -52 + -8x Solving 17 + 15x = -52 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 17 + 15x + 8x = -52 + -8x + 8x Combine like terms: 15x + 8x = 23x 17 + 23x = -52 + -8x + 8x Combine like terms: -8x + 8x = 0 17 + 23x = -52 + 0 17 + 23x = -52 Add '-17' to each side of the equation. 17 + -17 + 23x = -52 + -17 Combine like terms: 17 + -17 = 0 0 + 23x = -52 + -17 23x = -52 + -17 Combine like terms: -52 + -17 = -69 23x = -69 Divide each side by '23'. x = -3 Simplifying x = -3
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