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Simplifying -5(x + -7) = -7(x + 9) Reorder the terms: -5(-7 + x) = -7(x + 9) (-7 * -5 + x * -5) = -7(x + 9) (35 + -5x) = -7(x + 9) Reorder the terms: 35 + -5x = -7(9 + x) 35 + -5x = (9 * -7 + x * -7) 35 + -5x = (-63 + -7x) Solving 35 + -5x = -63 + -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. 35 + -5x + 7x = -63 + -7x + 7x Combine like terms: -5x + 7x = 2x 35 + 2x = -63 + -7x + 7x Combine like terms: -7x + 7x = 0 35 + 2x = -63 + 0 35 + 2x = -63 Add '-35' to each side of the equation. 35 + -35 + 2x = -63 + -35 Combine like terms: 35 + -35 = 0 0 + 2x = -63 + -35 2x = -63 + -35 Combine like terms: -63 + -35 = -98 2x = -98 Divide each side by '2'. x = -49 Simplifying x = -49
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