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Simplifying -1(17x + 18) + 2(9 + 8x) = 5(x + 1) + 7 Reorder the terms: -1(18 + 17x) + 2(9 + 8x) = 5(x + 1) + 7 (18 * -1 + 17x * -1) + 2(9 + 8x) = 5(x + 1) + 7 (-18 + -17x) + 2(9 + 8x) = 5(x + 1) + 7 -18 + -17x + (9 * 2 + 8x * 2) = 5(x + 1) + 7 -18 + -17x + (18 + 16x) = 5(x + 1) + 7 Reorder the terms: -18 + 18 + -17x + 16x = 5(x + 1) + 7 Combine like terms: -18 + 18 = 0 0 + -17x + 16x = 5(x + 1) + 7 -17x + 16x = 5(x + 1) + 7 Combine like terms: -17x + 16x = -1x -1x = 5(x + 1) + 7 Reorder the terms: -1x = 5(1 + x) + 7 -1x = (1 * 5 + x * 5) + 7 -1x = (5 + 5x) + 7 Reorder the terms: -1x = 5 + 7 + 5x Combine like terms: 5 + 7 = 12 -1x = 12 + 5x Solving -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. -1x + -5x = 12 + 5x + -5x Combine like terms: -1x + -5x = -6x -6x = 12 + 5x + -5x Combine like terms: 5x + -5x = 0 -6x = 12 + 0 -6x = 12 Divide each side by '-6'. x = -2 Simplifying x = -2
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