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Simplifying 3x + 5(x + 3) = 38 Reorder the terms: 3x + 5(3 + x) = 38 3x + (3 * 5 + x * 5) = 38 3x + (15 + 5x) = 38 Reorder the terms: 15 + 3x + 5x = 38 Combine like terms: 3x + 5x = 8x 15 + 8x = 38 Solving 15 + 8x = 38 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + 8x = 38 + -15 Combine like terms: 15 + -15 = 0 0 + 8x = 38 + -15 8x = 38 + -15 Combine like terms: 38 + -15 = 23 8x = 23 Divide each side by '8'. x = 2.875 Simplifying x = 2.875
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