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Simplifying 5(x + -7) = -2x + 7 Reorder the terms: 5(-7 + x) = -2x + 7 (-7 * 5 + x * 5) = -2x + 7 (-35 + 5x) = -2x + 7 Reorder the terms: -35 + 5x = 7 + -2x Solving -35 + 5x = 7 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -35 + 5x + 2x = 7 + -2x + 2x Combine like terms: 5x + 2x = 7x -35 + 7x = 7 + -2x + 2x Combine like terms: -2x + 2x = 0 -35 + 7x = 7 + 0 -35 + 7x = 7 Add '35' to each side of the equation. -35 + 35 + 7x = 7 + 35 Combine like terms: -35 + 35 = 0 0 + 7x = 7 + 35 7x = 7 + 35 Combine like terms: 7 + 35 = 42 7x = 42 Divide each side by '7'. x = 6 Simplifying x = 6
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