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Simplifying 5(x + 3) + 2(2x + -5) = 23 Reorder the terms: 5(3 + x) + 2(2x + -5) = 23 (3 * 5 + x * 5) + 2(2x + -5) = 23 (15 + 5x) + 2(2x + -5) = 23 Reorder the terms: 15 + 5x + 2(-5 + 2x) = 23 15 + 5x + (-5 * 2 + 2x * 2) = 23 15 + 5x + (-10 + 4x) = 23 Reorder the terms: 15 + -10 + 5x + 4x = 23 Combine like terms: 15 + -10 = 5 5 + 5x + 4x = 23 Combine like terms: 5x + 4x = 9x 5 + 9x = 23 Solving 5 + 9x = 23 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 9x = 23 + -5 Combine like terms: 5 + -5 = 0 0 + 9x = 23 + -5 9x = 23 + -5 Combine like terms: 23 + -5 = 18 9x = 18 Divide each side by '9'. x = 2 Simplifying x = 2
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