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Simplifying -7(2x + -5) + (3x + -5) = 6 + -9 Reorder the terms: -7(-5 + 2x) + (3x + -5) = 6 + -9 (-5 * -7 + 2x * -7) + (3x + -5) = 6 + -9 (35 + -14x) + (3x + -5) = 6 + -9 Reorder the terms: 35 + -14x + (-5 + 3x) = 6 + -9 Remove parenthesis around (-5 + 3x) 35 + -14x + -5 + 3x = 6 + -9 Reorder the terms: 35 + -5 + -14x + 3x = 6 + -9 Combine like terms: 35 + -5 = 30 30 + -14x + 3x = 6 + -9 Combine like terms: -14x + 3x = -11x 30 + -11x = 6 + -9 Combine like terms: 6 + -9 = -3 30 + -11x = -3 Solving 30 + -11x = -3 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + -11x = -3 + -30 Combine like terms: 30 + -30 = 0 0 + -11x = -3 + -30 -11x = -3 + -30 Combine like terms: -3 + -30 = -33 -11x = -33 Divide each side by '-11'. x = 3 Simplifying x = 3
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