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Simplifying 5(x + -5) = -2x + 38 Reorder the terms: 5(-5 + x) = -2x + 38 (-5 * 5 + x * 5) = -2x + 38 (-25 + 5x) = -2x + 38 Reorder the terms: -25 + 5x = 38 + -2x Solving -25 + 5x = 38 + -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. -25 + 5x + 2x = 38 + -2x + 2x Combine like terms: 5x + 2x = 7x -25 + 7x = 38 + -2x + 2x Combine like terms: -2x + 2x = 0 -25 + 7x = 38 + 0 -25 + 7x = 38 Add '25' to each side of the equation. -25 + 25 + 7x = 38 + 25 Combine like terms: -25 + 25 = 0 0 + 7x = 38 + 25 7x = 38 + 25 Combine like terms: 38 + 25 = 63 7x = 63 Divide each side by '7'. x = 9 Simplifying x = 9
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