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Simplifying (4x + 5) + (x + 42) + (7x) = 180 Reorder the terms: (5 + 4x) + (x + 42) + (7x) = 180 Remove parenthesis around (5 + 4x) 5 + 4x + (x + 42) + (7x) = 180 Reorder the terms: 5 + 4x + (42 + x) + (7x) = 180 Remove parenthesis around (42 + x) 5 + 4x + 42 + x + (7x) = 180 Reorder the terms: 5 + 42 + 4x + x + (7x) = 180 Combine like terms: 5 + 42 = 47 47 + 4x + x + (7x) = 180 Combine like terms: 4x + x = 5x 47 + 5x + (7x) = 180 Combine like terms: 5x + (7x) = 12x 47 + 12x = 180 Solving 47 + 12x = 180 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-47' to each side of the equation. 47 + -47 + 12x = 180 + -47 Combine like terms: 47 + -47 = 0 0 + 12x = 180 + -47 12x = 180 + -47 Combine like terms: 180 + -47 = 133 12x = 133 Divide each side by '12'. x = 11.08333333 Simplifying x = 11.08333333
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