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Simplifying 23 + 8x = 7 + 5(x + 5) Reorder the terms: 23 + 8x = 7 + 5(5 + x) 23 + 8x = 7 + (5 * 5 + x * 5) 23 + 8x = 7 + (25 + 5x) Combine like terms: 7 + 25 = 32 23 + 8x = 32 + 5x Solving 23 + 8x = 32 + 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 + 8x + -5x = 32 + 5x + -5x Combine like terms: 8x + -5x = 3x 23 + 3x = 32 + 5x + -5x Combine like terms: 5x + -5x = 0 23 + 3x = 32 + 0 23 + 3x = 32 Add '-23' to each side of the equation. 23 + -23 + 3x = 32 + -23 Combine like terms: 23 + -23 = 0 0 + 3x = 32 + -23 3x = 32 + -23 Combine like terms: 32 + -23 = 9 3x = 9 Divide each side by '3'. x = 3 Simplifying x = 3
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