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Simplifying 5(x + -5) = 23 + -3x Reorder the terms: 5(-5 + x) = 23 + -3x (-5 * 5 + x * 5) = 23 + -3x (-25 + 5x) = 23 + -3x Solving -25 + 5x = 23 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -25 + 5x + 3x = 23 + -3x + 3x Combine like terms: 5x + 3x = 8x -25 + 8x = 23 + -3x + 3x Combine like terms: -3x + 3x = 0 -25 + 8x = 23 + 0 -25 + 8x = 23 Add '25' to each side of the equation. -25 + 25 + 8x = 23 + 25 Combine like terms: -25 + 25 = 0 0 + 8x = 23 + 25 8x = 23 + 25 Combine like terms: 23 + 25 = 48 8x = 48 Divide each side by '8'. x = 6 Simplifying x = 6
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