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Simplifying -1(17x + 8) + 2(9 + 8x) = 5(x + 1) + 7 Reorder the terms: -1(8 + 17x) + 2(9 + 8x) = 5(x + 1) + 7 (8 * -1 + 17x * -1) + 2(9 + 8x) = 5(x + 1) + 7 (-8 + -17x) + 2(9 + 8x) = 5(x + 1) + 7 -8 + -17x + (9 * 2 + 8x * 2) = 5(x + 1) + 7 -8 + -17x + (18 + 16x) = 5(x + 1) + 7 Reorder the terms: -8 + 18 + -17x + 16x = 5(x + 1) + 7 Combine like terms: -8 + 18 = 10 10 + -17x + 16x = 5(x + 1) + 7 Combine like terms: -17x + 16x = -1x 10 + -1x = 5(x + 1) + 7 Reorder the terms: 10 + -1x = 5(1 + x) + 7 10 + -1x = (1 * 5 + x * 5) + 7 10 + -1x = (5 + 5x) + 7 Reorder the terms: 10 + -1x = 5 + 7 + 5x Combine like terms: 5 + 7 = 12 10 + -1x = 12 + 5x Solving 10 + -1x = 12 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 10 + -1x + -5x = 12 + 5x + -5x Combine like terms: -1x + -5x = -6x 10 + -6x = 12 + 5x + -5x Combine like terms: 5x + -5x = 0 10 + -6x = 12 + 0 10 + -6x = 12 Add '-10' to each side of the equation. 10 + -10 + -6x = 12 + -10 Combine like terms: 10 + -10 = 0 0 + -6x = 12 + -10 -6x = 12 + -10 Combine like terms: 12 + -10 = 2 -6x = 2 Divide each side by '-6'. x = -0.3333333333 Simplifying x = -0.3333333333
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