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Simplifying 5(x + -7) = -5x + 5 Reorder the terms: 5(-7 + x) = -5x + 5 (-7 * 5 + x * 5) = -5x + 5 (-35 + 5x) = -5x + 5 Reorder the terms: -35 + 5x = 5 + -5x Solving -35 + 5x = 5 + -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 + 5x + 5x = 5 + -5x + 5x Combine like terms: 5x + 5x = 10x -35 + 10x = 5 + -5x + 5x Combine like terms: -5x + 5x = 0 -35 + 10x = 5 + 0 -35 + 10x = 5 Add '35' to each side of the equation. -35 + 35 + 10x = 5 + 35 Combine like terms: -35 + 35 = 0 0 + 10x = 5 + 35 10x = 5 + 35 Combine like terms: 5 + 35 = 40 10x = 40 Divide each side by '10'. x = 4 Simplifying x = 4
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