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Simplifying 3x + 5(6x + 1) = 38 Reorder the terms: 3x + 5(1 + 6x) = 38 3x + (1 * 5 + 6x * 5) = 38 3x + (5 + 30x) = 38 Reorder the terms: 5 + 3x + 30x = 38 Combine like terms: 3x + 30x = 33x 5 + 33x = 38 Solving 5 + 33x = 38 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 + 33x = 38 + -5 Combine like terms: 5 + -5 = 0 0 + 33x = 38 + -5 33x = 38 + -5 Combine like terms: 38 + -5 = 33 33x = 33 Divide each side by '33'. x = 1 Simplifying x = 1
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