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Simplifying 6(x + 2) + 2(2x + 3) = 68 Reorder the terms: 6(2 + x) + 2(2x + 3) = 68 (2 * 6 + x * 6) + 2(2x + 3) = 68 (12 + 6x) + 2(2x + 3) = 68 Reorder the terms: 12 + 6x + 2(3 + 2x) = 68 12 + 6x + (3 * 2 + 2x * 2) = 68 12 + 6x + (6 + 4x) = 68 Reorder the terms: 12 + 6 + 6x + 4x = 68 Combine like terms: 12 + 6 = 18 18 + 6x + 4x = 68 Combine like terms: 6x + 4x = 10x 18 + 10x = 68 Solving 18 + 10x = 68 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + 10x = 68 + -18 Combine like terms: 18 + -18 = 0 0 + 10x = 68 + -18 10x = 68 + -18 Combine like terms: 68 + -18 = 50 10x = 50 Divide each side by '10'. x = 5 Simplifying x = 5
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