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Simplifying (4x + 42) + (7x + 6) = 180 Reorder the terms: (42 + 4x) + (7x + 6) = 180 Remove parenthesis around (42 + 4x) 42 + 4x + (7x + 6) = 180 Reorder the terms: 42 + 4x + (6 + 7x) = 180 Remove parenthesis around (6 + 7x) 42 + 4x + 6 + 7x = 180 Reorder the terms: 42 + 6 + 4x + 7x = 180 Combine like terms: 42 + 6 = 48 48 + 4x + 7x = 180 Combine like terms: 4x + 7x = 11x 48 + 11x = 180 Solving 48 + 11x = 180 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-48' to each side of the equation. 48 + -48 + 11x = 180 + -48 Combine like terms: 48 + -48 = 0 0 + 11x = 180 + -48 11x = 180 + -48 Combine like terms: 180 + -48 = 132 11x = 132 Divide each side by '11'. x = 12 Simplifying x = 12
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