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Simplifying 5(x + 3) + 2(2x + 1) = 50 Reorder the terms: 5(3 + x) + 2(2x + 1) = 50 (3 * 5 + x * 5) + 2(2x + 1) = 50 (15 + 5x) + 2(2x + 1) = 50 Reorder the terms: 15 + 5x + 2(1 + 2x) = 50 15 + 5x + (1 * 2 + 2x * 2) = 50 15 + 5x + (2 + 4x) = 50 Reorder the terms: 15 + 2 + 5x + 4x = 50 Combine like terms: 15 + 2 = 17 17 + 5x + 4x = 50 Combine like terms: 5x + 4x = 9x 17 + 9x = 50 Solving 17 + 9x = 50 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + 9x = 50 + -17 Combine like terms: 17 + -17 = 0 0 + 9x = 50 + -17 9x = 50 + -17 Combine like terms: 50 + -17 = 33 9x = 33 Divide each side by '9'. x = 3.666666667 Simplifying x = 3.666666667
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