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Simplifying (6x) + (12x) + (3x + 42) = 180 Reorder the terms: (6x) + (12x) + (42 + 3x) = 180 Remove parenthesis around (42 + 3x) (6x) + (12x) + 42 + 3x = 180 Reorder the terms: 42 + (6x) + (12x) + 3x = 180 Combine like terms: (6x) + (12x) = 18x 42 + 18x + 3x = 180 Combine like terms: 18x + 3x = 21x 42 + 21x = 180 Solving 42 + 21x = 180 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-42' to each side of the equation. 42 + -42 + 21x = 180 + -42 Combine like terms: 42 + -42 = 0 0 + 21x = 180 + -42 21x = 180 + -42 Combine like terms: 180 + -42 = 138 21x = 138 Divide each side by '21'. x = 6.571428571 Simplifying x = 6.571428571
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