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Simplifying 4(x + 2) + 2x = 38 Reorder the terms: 4(2 + x) + 2x = 38 (2 * 4 + x * 4) + 2x = 38 (8 + 4x) + 2x = 38 Combine like terms: 4x + 2x = 6x 8 + 6x = 38 Solving 8 + 6x = 38 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 6x = 38 + -8 Combine like terms: 8 + -8 = 0 0 + 6x = 38 + -8 6x = 38 + -8 Combine like terms: 38 + -8 = 30 6x = 30 Divide each side by '6'. x = 5 Simplifying x = 5
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