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Simplifying (3x + 5) + -1(x + -17) = 7x + 2(2 + -1x) + -9 Reorder the terms: (5 + 3x) + -1(x + -17) = 7x + 2(2 + -1x) + -9 Remove parenthesis around (5 + 3x) 5 + 3x + -1(x + -17) = 7x + 2(2 + -1x) + -9 Reorder the terms: 5 + 3x + -1(-17 + x) = 7x + 2(2 + -1x) + -9 5 + 3x + (-17 * -1 + x * -1) = 7x + 2(2 + -1x) + -9 5 + 3x + (17 + -1x) = 7x + 2(2 + -1x) + -9 Reorder the terms: 5 + 17 + 3x + -1x = 7x + 2(2 + -1x) + -9 Combine like terms: 5 + 17 = 22 22 + 3x + -1x = 7x + 2(2 + -1x) + -9 Combine like terms: 3x + -1x = 2x 22 + 2x = 7x + 2(2 + -1x) + -9 22 + 2x = 7x + (2 * 2 + -1x * 2) + -9 22 + 2x = 7x + (4 + -2x) + -9 Reorder the terms: 22 + 2x = 4 + -9 + 7x + -2x Combine like terms: 4 + -9 = -5 22 + 2x = -5 + 7x + -2x Combine like terms: 7x + -2x = 5x 22 + 2x = -5 + 5x Solving 22 + 2x = -5 + 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. 22 + 2x + -5x = -5 + 5x + -5x Combine like terms: 2x + -5x = -3x 22 + -3x = -5 + 5x + -5x Combine like terms: 5x + -5x = 0 22 + -3x = -5 + 0 22 + -3x = -5 Add '-22' to each side of the equation. 22 + -22 + -3x = -5 + -22 Combine like terms: 22 + -22 = 0 0 + -3x = -5 + -22 -3x = -5 + -22 Combine like terms: -5 + -22 = -27 -3x = -27 Divide each side by '-3'. x = 9 Simplifying x = 9
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