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Simplifying 2(x + 2) + 2(3x + 1) = 38 Reorder the terms: 2(2 + x) + 2(3x + 1) = 38 (2 * 2 + x * 2) + 2(3x + 1) = 38 (4 + 2x) + 2(3x + 1) = 38 Reorder the terms: 4 + 2x + 2(1 + 3x) = 38 4 + 2x + (1 * 2 + 3x * 2) = 38 4 + 2x + (2 + 6x) = 38 Reorder the terms: 4 + 2 + 2x + 6x = 38 Combine like terms: 4 + 2 = 6 6 + 2x + 6x = 38 Combine like terms: 2x + 6x = 8x 6 + 8x = 38 Solving 6 + 8x = 38 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 8x = 38 + -6 Combine like terms: 6 + -6 = 0 0 + 8x = 38 + -6 8x = 38 + -6 Combine like terms: 38 + -6 = 32 8x = 32 Divide each side by '8'. x = 4 Simplifying x = 4
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