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Simplifying 5(x + -5) = 23 + -1x Reorder the terms: 5(-5 + x) = 23 + -1x (-5 * 5 + x * 5) = 23 + -1x (-25 + 5x) = 23 + -1x Solving -25 + 5x = 23 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -25 + 5x + x = 23 + -1x + x Combine like terms: 5x + x = 6x -25 + 6x = 23 + -1x + x Combine like terms: -1x + x = 0 -25 + 6x = 23 + 0 -25 + 6x = 23 Add '25' to each side of the equation. -25 + 25 + 6x = 23 + 25 Combine like terms: -25 + 25 = 0 0 + 6x = 23 + 25 6x = 23 + 25 Combine like terms: 23 + 25 = 48 6x = 48 Divide each side by '6'. x = 8 Simplifying x = 8
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