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Simplifying 2(4x + 5) + -5x + 1 = 23 Reorder the terms: 2(5 + 4x) + -5x + 1 = 23 (5 * 2 + 4x * 2) + -5x + 1 = 23 (10 + 8x) + -5x + 1 = 23 Reorder the terms: 10 + 1 + 8x + -5x = 23 Combine like terms: 10 + 1 = 11 11 + 8x + -5x = 23 Combine like terms: 8x + -5x = 3x 11 + 3x = 23 Solving 11 + 3x = 23 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + 3x = 23 + -11 Combine like terms: 11 + -11 = 0 0 + 3x = 23 + -11 3x = 23 + -11 Combine like terms: 23 + -11 = 12 3x = 12 Divide each side by '3'. x = 4 Simplifying x = 4
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