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Simplifying 39 + -8x = 5(5x + -5) + -1x Reorder the terms: 39 + -8x = 5(-5 + 5x) + -1x 39 + -8x = (-5 * 5 + 5x * 5) + -1x 39 + -8x = (-25 + 25x) + -1x Combine like terms: 25x + -1x = 24x 39 + -8x = -25 + 24x Solving 39 + -8x = -25 + 24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24x' to each side of the equation. 39 + -8x + -24x = -25 + 24x + -24x Combine like terms: -8x + -24x = -32x 39 + -32x = -25 + 24x + -24x Combine like terms: 24x + -24x = 0 39 + -32x = -25 + 0 39 + -32x = -25 Add '-39' to each side of the equation. 39 + -39 + -32x = -25 + -39 Combine like terms: 39 + -39 = 0 0 + -32x = -25 + -39 -32x = -25 + -39 Combine like terms: -25 + -39 = -64 -32x = -64 Divide each side by '-32'. x = 2 Simplifying x = 2
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