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Simplifying -7(2x + -5) + 5(3x + -5) + -2 = 6 + -9 Reorder the terms: -7(-5 + 2x) + 5(3x + -5) + -2 = 6 + -9 (-5 * -7 + 2x * -7) + 5(3x + -5) + -2 = 6 + -9 (35 + -14x) + 5(3x + -5) + -2 = 6 + -9 Reorder the terms: 35 + -14x + 5(-5 + 3x) + -2 = 6 + -9 35 + -14x + (-5 * 5 + 3x * 5) + -2 = 6 + -9 35 + -14x + (-25 + 15x) + -2 = 6 + -9 Reorder the terms: 35 + -25 + -2 + -14x + 15x = 6 + -9 Combine like terms: 35 + -25 = 10 10 + -2 + -14x + 15x = 6 + -9 Combine like terms: 10 + -2 = 8 8 + -14x + 15x = 6 + -9 Combine like terms: -14x + 15x = 1x 8 + 1x = 6 + -9 Combine like terms: 6 + -9 = -3 8 + 1x = -3 Solving 8 + 1x = -3 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 1x = -3 + -8 Combine like terms: 8 + -8 = 0 0 + 1x = -3 + -8 1x = -3 + -8 Combine like terms: -3 + -8 = -11 1x = -11 Divide each side by '1'. x = -11 Simplifying x = -11
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