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Simplifying 2(x + 5) + 3(x + -3) = 23 Reorder the terms: 2(5 + x) + 3(x + -3) = 23 (5 * 2 + x * 2) + 3(x + -3) = 23 (10 + 2x) + 3(x + -3) = 23 Reorder the terms: 10 + 2x + 3(-3 + x) = 23 10 + 2x + (-3 * 3 + x * 3) = 23 10 + 2x + (-9 + 3x) = 23 Reorder the terms: 10 + -9 + 2x + 3x = 23 Combine like terms: 10 + -9 = 1 1 + 2x + 3x = 23 Combine like terms: 2x + 3x = 5x 1 + 5x = 23 Solving 1 + 5x = 23 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 5x = 23 + -1 Combine like terms: 1 + -1 = 0 0 + 5x = 23 + -1 5x = 23 + -1 Combine like terms: 23 + -1 = 22 5x = 22 Divide each side by '5'. x = 4.4 Simplifying x = 4.4
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