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Simplifying 6(2x + 1) + 6(2x + 1) = 180 Reorder the terms: 6(1 + 2x) + 6(2x + 1) = 180 (1 * 6 + 2x * 6) + 6(2x + 1) = 180 (6 + 12x) + 6(2x + 1) = 180 Reorder the terms: 6 + 12x + 6(1 + 2x) = 180 6 + 12x + (1 * 6 + 2x * 6) = 180 6 + 12x + (6 + 12x) = 180 Reorder the terms: 6 + 6 + 12x + 12x = 180 Combine like terms: 6 + 6 = 12 12 + 12x + 12x = 180 Combine like terms: 12x + 12x = 24x 12 + 24x = 180 Solving 12 + 24x = 180 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 24x = 180 + -12 Combine like terms: 12 + -12 = 0 0 + 24x = 180 + -12 24x = 180 + -12 Combine like terms: 180 + -12 = 168 24x = 168 Divide each side by '24'. x = 7 Simplifying x = 7
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