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Simplifying 5(x + -5) = -8x + -38 Reorder the terms: 5(-5 + x) = -8x + -38 (-5 * 5 + x * 5) = -8x + -38 (-25 + 5x) = -8x + -38 Reorder the terms: -25 + 5x = -38 + -8x Solving -25 + 5x = -38 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. -25 + 5x + 8x = -38 + -8x + 8x Combine like terms: 5x + 8x = 13x -25 + 13x = -38 + -8x + 8x Combine like terms: -8x + 8x = 0 -25 + 13x = -38 + 0 -25 + 13x = -38 Add '25' to each side of the equation. -25 + 25 + 13x = -38 + 25 Combine like terms: -25 + 25 = 0 0 + 13x = -38 + 25 13x = -38 + 25 Combine like terms: -38 + 25 = -13 13x = -13 Divide each side by '13'. x = -1 Simplifying x = -1
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