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Simplifying 3x + 2x + (x + 12) + (2 + 4) = 360 Reorder the terms: 3x + 2x + (12 + x) + (2 + 4) = 360 Remove parenthesis around (12 + x) 3x + 2x + 12 + x + (2 + 4) = 360 Combine like terms: 2 + 4 = 6 3x + 2x + 12 + x + (6) = 360 3x + 2x + 12 + x + 6 = 360 Reorder the terms: 12 + 6 + 3x + 2x + x = 360 Combine like terms: 12 + 6 = 18 18 + 3x + 2x + x = 360 Combine like terms: 3x + 2x = 5x 18 + 5x + x = 360 Combine like terms: 5x + x = 6x 18 + 6x = 360 Solving 18 + 6x = 360 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 + 6x = 360 + -18 Combine like terms: 18 + -18 = 0 0 + 6x = 360 + -18 6x = 360 + -18 Combine like terms: 360 + -18 = 342 6x = 342 Divide each side by '6'. x = 57 Simplifying x = 57
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