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Simplifying (4x) + (7x + 8) + (7x + 4) = 174 Reorder the terms: (4x) + (8 + 7x) + (7x + 4) = 174 Remove parenthesis around (8 + 7x) (4x) + 8 + 7x + (7x + 4) = 174 Reorder the terms: (4x) + 8 + 7x + (4 + 7x) = 174 Remove parenthesis around (4 + 7x) (4x) + 8 + 7x + 4 + 7x = 174 Reorder the terms: 8 + 4 + (4x) + 7x + 7x = 174 Combine like terms: 8 + 4 = 12 12 + (4x) + 7x + 7x = 174 Combine like terms: (4x) + 7x = 11x 12 + 11x + 7x = 174 Combine like terms: 11x + 7x = 18x 12 + 18x = 174 Solving 12 + 18x = 174 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 18x = 174 + -12 Combine like terms: 12 + -12 = 0 0 + 18x = 174 + -12 18x = 174 + -12 Combine like terms: 174 + -12 = 162 18x = 162 Divide each side by '18'. x = 9 Simplifying x = 9
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