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Simplifying 3(2x + 4) + 2(x + 1) = 30 Reorder the terms: 3(4 + 2x) + 2(x + 1) = 30 (4 * 3 + 2x * 3) + 2(x + 1) = 30 (12 + 6x) + 2(x + 1) = 30 Reorder the terms: 12 + 6x + 2(1 + x) = 30 12 + 6x + (1 * 2 + x * 2) = 30 12 + 6x + (2 + 2x) = 30 Reorder the terms: 12 + 2 + 6x + 2x = 30 Combine like terms: 12 + 2 = 14 14 + 6x + 2x = 30 Combine like terms: 6x + 2x = 8x 14 + 8x = 30 Solving 14 + 8x = 30 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + 8x = 30 + -14 Combine like terms: 14 + -14 = 0 0 + 8x = 30 + -14 8x = 30 + -14 Combine like terms: 30 + -14 = 16 8x = 16 Divide each side by '8'. x = 2 Simplifying x = 2
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