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Simplifying 7(x + -5) = 5(x + -7) Reorder the terms: 7(-5 + x) = 5(x + -7) (-5 * 7 + x * 7) = 5(x + -7) (-35 + 7x) = 5(x + -7) Reorder the terms: -35 + 7x = 5(-7 + x) -35 + 7x = (-7 * 5 + x * 5) -35 + 7x = (-35 + 5x) Add '35' to each side of the equation. -35 + 35 + 7x = -35 + 35 + 5x Combine like terms: -35 + 35 = 0 0 + 7x = -35 + 35 + 5x 7x = -35 + 35 + 5x Combine like terms: -35 + 35 = 0 7x = 0 + 5x 7x = 5x Solving 7x = 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 7x + -5x = 5x + -5x Combine like terms: 7x + -5x = 2x 2x = 5x + -5x Combine like terms: 5x + -5x = 0 2x = 0 Divide each side by '2'. x = 0 Simplifying x = 0
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