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