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Simplifying -5(x + -7) = 6x + -9 Reorder the terms: -5(-7 + x) = 6x + -9 (-7 * -5 + x * -5) = 6x + -9 (35 + -5x) = 6x + -9 Reorder the terms: 35 + -5x = -9 + 6x Solving 35 + -5x = -9 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 35 + -5x + -6x = -9 + 6x + -6x Combine like terms: -5x + -6x = -11x 35 + -11x = -9 + 6x + -6x Combine like terms: 6x + -6x = 0 35 + -11x = -9 + 0 35 + -11x = -9 Add '-35' to each side of the equation. 35 + -35 + -11x = -9 + -35 Combine like terms: 35 + -35 = 0 0 + -11x = -9 + -35 -11x = -9 + -35 Combine like terms: -9 + -35 = -44 -11x = -44 Divide each side by '-11'. x = 4 Simplifying x = 4
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