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Simplifying 5x + 2(x + 4) = 5x + 38 Reorder the terms: 5x + 2(4 + x) = 5x + 38 5x + (4 * 2 + x * 2) = 5x + 38 5x + (8 + 2x) = 5x + 38 Reorder the terms: 8 + 5x + 2x = 5x + 38 Combine like terms: 5x + 2x = 7x 8 + 7x = 5x + 38 Reorder the terms: 8 + 7x = 38 + 5x Solving 8 + 7x = 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. 8 + 7x + -5x = 38 + 5x + -5x Combine like terms: 7x + -5x = 2x 8 + 2x = 38 + 5x + -5x Combine like terms: 5x + -5x = 0 8 + 2x = 38 + 0 8 + 2x = 38 Add '-8' to each side of the equation. 8 + -8 + 2x = 38 + -8 Combine like terms: 8 + -8 = 0 0 + 2x = 38 + -8 2x = 38 + -8 Combine like terms: 38 + -8 = 30 2x = 30 Divide each side by '2'. x = 15 Simplifying x = 15
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