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Simplifying 3(2x + 6) = 5x + 74 Reorder the terms: 3(6 + 2x) = 5x + 74 (6 * 3 + 2x * 3) = 5x + 74 (18 + 6x) = 5x + 74 Reorder the terms: 18 + 6x = 74 + 5x Solving 18 + 6x = 74 + 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. 18 + 6x + -5x = 74 + 5x + -5x Combine like terms: 6x + -5x = 1x 18 + 1x = 74 + 5x + -5x Combine like terms: 5x + -5x = 0 18 + 1x = 74 + 0 18 + 1x = 74 Add '-18' to each side of the equation. 18 + -18 + 1x = 74 + -18 Combine like terms: 18 + -18 = 0 0 + 1x = 74 + -18 1x = 74 + -18 Combine like terms: 74 + -18 = 56 1x = 56 Divide each side by '1'. x = 56 Simplifying x = 56
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