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Simplifying -5(x + 5) = 4x + 38 Reorder the terms: -5(5 + x) = 4x + 38 (5 * -5 + x * -5) = 4x + 38 (-25 + -5x) = 4x + 38 Reorder the terms: -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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