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Simplifying 2x + 3(2x + 5) = 5x + 38 Reorder the terms: 2x + 3(5 + 2x) = 5x + 38 2x + (5 * 3 + 2x * 3) = 5x + 38 2x + (15 + 6x) = 5x + 38 Reorder the terms: 15 + 2x + 6x = 5x + 38 Combine like terms: 2x + 6x = 8x 15 + 8x = 5x + 38 Reorder the terms: 15 + 8x = 38 + 5x Solving 15 + 8x = 38 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 15 + 8x + -5x = 38 + 5x + -5x Combine like terms: 8x + -5x = 3x 15 + 3x = 38 + 5x + -5x Combine like terms: 5x + -5x = 0 15 + 3x = 38 + 0 15 + 3x = 38 Add '-15' to each side of the equation. 15 + -15 + 3x = 38 + -15 Combine like terms: 15 + -15 = 0 0 + 3x = 38 + -15 3x = 38 + -15 Combine like terms: 38 + -15 = 23 3x = 23 Divide each side by '3'. x = 7.666666667 Simplifying x = 7.666666667
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