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Simplifying 5(x + -7) = -2x + 8 Reorder the terms: 5(-7 + x) = -2x + 8 (-7 * 5 + x * 5) = -2x + 8 (-35 + 5x) = -2x + 8 Reorder the terms: -35 + 5x = 8 + -2x Solving -35 + 5x = 8 + -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 = 8 + -2x + 2x Combine like terms: 5x + 2x = 7x -35 + 7x = 8 + -2x + 2x Combine like terms: -2x + 2x = 0 -35 + 7x = 8 + 0 -35 + 7x = 8 Add '35' to each side of the equation. -35 + 35 + 7x = 8 + 35 Combine like terms: -35 + 35 = 0 0 + 7x = 8 + 35 7x = 8 + 35 Combine like terms: 8 + 35 = 43 7x = 43 Divide each side by '7'. x = 6.142857143 Simplifying x = 6.142857143
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