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Simplifying x + 23 = 5(x + -5) Reorder the terms: 23 + x = 5(x + -5) Reorder the terms: 23 + x = 5(-5 + x) 23 + x = (-5 * 5 + x * 5) 23 + x = (-25 + 5x) Solving 23 + x = -25 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 23 + x + -5x = -25 + 5x + -5x Combine like terms: x + -5x = -4x 23 + -4x = -25 + 5x + -5x Combine like terms: 5x + -5x = 0 23 + -4x = -25 + 0 23 + -4x = -25 Add '-23' to each side of the equation. 23 + -23 + -4x = -25 + -23 Combine like terms: 23 + -23 = 0 0 + -4x = -25 + -23 -4x = -25 + -23 Combine like terms: -25 + -23 = -48 -4x = -48 Divide each side by '-4'. x = 12 Simplifying x = 12
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