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Simplifying 3x + 2x + (x + 12) + (2x + 4) = 360 Reorder the terms: 3x + 2x + (12 + x) + (2x + 4) = 360 Remove parenthesis around (12 + x) 3x + 2x + 12 + x + (2x + 4) = 360 Reorder the terms: 3x + 2x + 12 + x + (4 + 2x) = 360 Remove parenthesis around (4 + 2x) 3x + 2x + 12 + x + 4 + 2x = 360 Reorder the terms: 12 + 4 + 3x + 2x + x + 2x = 360 Combine like terms: 12 + 4 = 16 16 + 3x + 2x + x + 2x = 360 Combine like terms: 3x + 2x = 5x 16 + 5x + x + 2x = 360 Combine like terms: 5x + x = 6x 16 + 6x + 2x = 360 Combine like terms: 6x + 2x = 8x 16 + 8x = 360 Solving 16 + 8x = 360 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + 8x = 360 + -16 Combine like terms: 16 + -16 = 0 0 + 8x = 360 + -16 8x = 360 + -16 Combine like terms: 360 + -16 = 344 8x = 344 Divide each side by '8'. x = 43 Simplifying x = 43
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