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Simplifying 3(x + 5) = 23 + -5x Reorder the terms: 3(5 + x) = 23 + -5x (5 * 3 + x * 3) = 23 + -5x (15 + 3x) = 23 + -5x Solving 15 + 3x = 23 + -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. 15 + 3x + 5x = 23 + -5x + 5x Combine like terms: 3x + 5x = 8x 15 + 8x = 23 + -5x + 5x Combine like terms: -5x + 5x = 0 15 + 8x = 23 + 0 15 + 8x = 23 Add '-15' to each side of the equation. 15 + -15 + 8x = 23 + -15 Combine like terms: 15 + -15 = 0 0 + 8x = 23 + -15 8x = 23 + -15 Combine like terms: 23 + -15 = 8 8x = 8 Divide each side by '8'. x = 1 Simplifying x = 1
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