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Simplifying -5(x + -9) = -7(x + -7) Reorder the terms: -5(-9 + x) = -7(x + -7) (-9 * -5 + x * -5) = -7(x + -7) (45 + -5x) = -7(x + -7) Reorder the terms: 45 + -5x = -7(-7 + x) 45 + -5x = (-7 * -7 + x * -7) 45 + -5x = (49 + -7x) Solving 45 + -5x = 49 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 45 + -5x + 7x = 49 + -7x + 7x Combine like terms: -5x + 7x = 2x 45 + 2x = 49 + -7x + 7x Combine like terms: -7x + 7x = 0 45 + 2x = 49 + 0 45 + 2x = 49 Add '-45' to each side of the equation. 45 + -45 + 2x = 49 + -45 Combine like terms: 45 + -45 = 0 0 + 2x = 49 + -45 2x = 49 + -45 Combine like terms: 49 + -45 = 4 2x = 4 Divide each side by '2'. x = 2 Simplifying x = 2
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