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Simplifying 5(x + -5) = 38 + -4x Reorder the terms: 5(-5 + x) = 38 + -4x (-5 * 5 + x * 5) = 38 + -4x (-25 + 5x) = 38 + -4x Solving -25 + 5x = 38 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -25 + 5x + 4x = 38 + -4x + 4x Combine like terms: 5x + 4x = 9x -25 + 9x = 38 + -4x + 4x Combine like terms: -4x + 4x = 0 -25 + 9x = 38 + 0 -25 + 9x = 38 Add '25' to each side of the equation. -25 + 25 + 9x = 38 + 25 Combine like terms: -25 + 25 = 0 0 + 9x = 38 + 25 9x = 38 + 25 Combine like terms: 38 + 25 = 63 9x = 63 Divide each side by '9'. x = 7 Simplifying x = 7
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