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Simplifying 5(x + 7) + -1(2x + -9) = 6 Reorder the terms: 5(7 + x) + -1(2x + -9) = 6 (7 * 5 + x * 5) + -1(2x + -9) = 6 (35 + 5x) + -1(2x + -9) = 6 Reorder the terms: 35 + 5x + -1(-9 + 2x) = 6 35 + 5x + (-9 * -1 + 2x * -1) = 6 35 + 5x + (9 + -2x) = 6 Reorder the terms: 35 + 9 + 5x + -2x = 6 Combine like terms: 35 + 9 = 44 44 + 5x + -2x = 6 Combine like terms: 5x + -2x = 3x 44 + 3x = 6 Solving 44 + 3x = 6 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-44' to each side of the equation. 44 + -44 + 3x = 6 + -44 Combine like terms: 44 + -44 = 0 0 + 3x = 6 + -44 3x = 6 + -44 Combine like terms: 6 + -44 = -38 3x = -38 Divide each side by '3'. x = -12.66666667 Simplifying x = -12.66666667
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