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Simplifying 2(4x + 30) + 2(2x) = 360 Reorder the terms: 2(30 + 4x) + 2(2x) = 360 (30 * 2 + 4x * 2) + 2(2x) = 360 (60 + 8x) + 2(2x) = 360 Remove parenthesis around (2x) 60 + 8x + 2 * 2x = 360 Multiply 2 * 2 60 + 8x + 4x = 360 Combine like terms: 8x + 4x = 12x 60 + 12x = 360 Solving 60 + 12x = 360 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-60' to each side of the equation. 60 + -60 + 12x = 360 + -60 Combine like terms: 60 + -60 = 0 0 + 12x = 360 + -60 12x = 360 + -60 Combine like terms: 360 + -60 = 300 12x = 300 Divide each side by '12'. x = 25 Simplifying x = 25
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