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Simplifying 3(x + 5) + 2(x + 3) = 26 Reorder the terms: 3(5 + x) + 2(x + 3) = 26 (5 * 3 + x * 3) + 2(x + 3) = 26 (15 + 3x) + 2(x + 3) = 26 Reorder the terms: 15 + 3x + 2(3 + x) = 26 15 + 3x + (3 * 2 + x * 2) = 26 15 + 3x + (6 + 2x) = 26 Reorder the terms: 15 + 6 + 3x + 2x = 26 Combine like terms: 15 + 6 = 21 21 + 3x + 2x = 26 Combine like terms: 3x + 2x = 5x 21 + 5x = 26 Solving 21 + 5x = 26 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-21' to each side of the equation. 21 + -21 + 5x = 26 + -21 Combine like terms: 21 + -21 = 0 0 + 5x = 26 + -21 5x = 26 + -21 Combine like terms: 26 + -21 = 5 5x = 5 Divide each side by '5'. x = 1 Simplifying x = 1
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