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Simplifying 2(2x + 1) + 6(x + 3) = 79 Reorder the terms: 2(1 + 2x) + 6(x + 3) = 79 (1 * 2 + 2x * 2) + 6(x + 3) = 79 (2 + 4x) + 6(x + 3) = 79 Reorder the terms: 2 + 4x + 6(3 + x) = 79 2 + 4x + (3 * 6 + x * 6) = 79 2 + 4x + (18 + 6x) = 79 Reorder the terms: 2 + 18 + 4x + 6x = 79 Combine like terms: 2 + 18 = 20 20 + 4x + 6x = 79 Combine like terms: 4x + 6x = 10x 20 + 10x = 79 Solving 20 + 10x = 79 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + 10x = 79 + -20 Combine like terms: 20 + -20 = 0 0 + 10x = 79 + -20 10x = 79 + -20 Combine like terms: 79 + -20 = 59 10x = 59 Divide each side by '10'. x = 5.9 Simplifying x = 5.9
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