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Simplifying 3(2x + 11) = 5x + 38 Reorder the terms: 3(11 + 2x) = 5x + 38 (11 * 3 + 2x * 3) = 5x + 38 (33 + 6x) = 5x + 38 Reorder the terms: 33 + 6x = 38 + 5x Solving 33 + 6x = 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. 33 + 6x + -5x = 38 + 5x + -5x Combine like terms: 6x + -5x = 1x 33 + 1x = 38 + 5x + -5x Combine like terms: 5x + -5x = 0 33 + 1x = 38 + 0 33 + 1x = 38 Add '-33' to each side of the equation. 33 + -33 + 1x = 38 + -33 Combine like terms: 33 + -33 = 0 0 + 1x = 38 + -33 1x = 38 + -33 Combine like terms: 38 + -33 = 5 1x = 5 Divide each side by '1'. x = 5 Simplifying x = 5
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