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Simplifying 5x + 5(x + -7) = 5(x + -5) Reorder the terms: 5x + 5(-7 + x) = 5(x + -5) 5x + (-7 * 5 + x * 5) = 5(x + -5) 5x + (-35 + 5x) = 5(x + -5) Reorder the terms: -35 + 5x + 5x = 5(x + -5) Combine like terms: 5x + 5x = 10x -35 + 10x = 5(x + -5) Reorder the terms: -35 + 10x = 5(-5 + x) -35 + 10x = (-5 * 5 + x * 5) -35 + 10x = (-25 + 5x) Solving -35 + 10x = -25 + 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. -35 + 10x + -5x = -25 + 5x + -5x Combine like terms: 10x + -5x = 5x -35 + 5x = -25 + 5x + -5x Combine like terms: 5x + -5x = 0 -35 + 5x = -25 + 0 -35 + 5x = -25 Add '35' to each side of the equation. -35 + 35 + 5x = -25 + 35 Combine like terms: -35 + 35 = 0 0 + 5x = -25 + 35 5x = -25 + 35 Combine like terms: -25 + 35 = 10 5x = 10 Divide each side by '5'. x = 2 Simplifying x = 2
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