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Simplifying 7x + -1(2x + -9) + (3x + 8) + -1(5x + 6) = 5 Reorder the terms: 7x + -1(-9 + 2x) + (3x + 8) + -1(5x + 6) = 5 7x + (-9 * -1 + 2x * -1) + (3x + 8) + -1(5x + 6) = 5 7x + (9 + -2x) + (3x + 8) + -1(5x + 6) = 5 Reorder the terms: 7x + 9 + -2x + (8 + 3x) + -1(5x + 6) = 5 Remove parenthesis around (8 + 3x) 7x + 9 + -2x + 8 + 3x + -1(5x + 6) = 5 Reorder the terms: 7x + 9 + -2x + 8 + 3x + -1(6 + 5x) = 5 7x + 9 + -2x + 8 + 3x + (6 * -1 + 5x * -1) = 5 7x + 9 + -2x + 8 + 3x + (-6 + -5x) = 5 Reorder the terms: 9 + 8 + -6 + 7x + -2x + 3x + -5x = 5 Combine like terms: 9 + 8 = 17 17 + -6 + 7x + -2x + 3x + -5x = 5 Combine like terms: 17 + -6 = 11 11 + 7x + -2x + 3x + -5x = 5 Combine like terms: 7x + -2x = 5x 11 + 5x + 3x + -5x = 5 Combine like terms: 5x + 3x = 8x 11 + 8x + -5x = 5 Combine like terms: 8x + -5x = 3x 11 + 3x = 5 Solving 11 + 3x = 5 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + 3x = 5 + -11 Combine like terms: 11 + -11 = 0 0 + 3x = 5 + -11 3x = 5 + -11 Combine like terms: 5 + -11 = -6 3x = -6 Divide each side by '3'. x = -2 Simplifying x = -2
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