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Simplifying 5(3x + 2) + 3(6x + 8) = 67 Reorder the terms: 5(2 + 3x) + 3(6x + 8) = 67 (2 * 5 + 3x * 5) + 3(6x + 8) = 67 (10 + 15x) + 3(6x + 8) = 67 Reorder the terms: 10 + 15x + 3(8 + 6x) = 67 10 + 15x + (8 * 3 + 6x * 3) = 67 10 + 15x + (24 + 18x) = 67 Reorder the terms: 10 + 24 + 15x + 18x = 67 Combine like terms: 10 + 24 = 34 34 + 15x + 18x = 67 Combine like terms: 15x + 18x = 33x 34 + 33x = 67 Solving 34 + 33x = 67 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-34' to each side of the equation. 34 + -34 + 33x = 67 + -34 Combine like terms: 34 + -34 = 0 0 + 33x = 67 + -34 33x = 67 + -34 Combine like terms: 67 + -34 = 33 33x = 33 Divide each side by '33'. x = 1 Simplifying x = 1
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