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Simplifying 6(x + 6) = 5x + 38 Reorder the terms: 6(6 + x) = 5x + 38 (6 * 6 + x * 6) = 5x + 38 (36 + 6x) = 5x + 38 Reorder the terms: 36 + 6x = 38 + 5x Solving 36 + 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. 36 + 6x + -5x = 38 + 5x + -5x Combine like terms: 6x + -5x = 1x 36 + 1x = 38 + 5x + -5x Combine like terms: 5x + -5x = 0 36 + 1x = 38 + 0 36 + 1x = 38 Add '-36' to each side of the equation. 36 + -36 + 1x = 38 + -36 Combine like terms: 36 + -36 = 0 0 + 1x = 38 + -36 1x = 38 + -36 Combine like terms: 38 + -36 = 2 1x = 2 Divide each side by '1'. x = 2 Simplifying x = 2
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