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Simplifying 7x + 6(2x + 10) = 174 Reorder the terms: 7x + 6(10 + 2x) = 174 7x + (10 * 6 + 2x * 6) = 174 7x + (60 + 12x) = 174 Reorder the terms: 60 + 7x + 12x = 174 Combine like terms: 7x + 12x = 19x 60 + 19x = 174 Solving 60 + 19x = 174 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-60' to each side of the equation. 60 + -60 + 19x = 174 + -60 Combine like terms: 60 + -60 = 0 0 + 19x = 174 + -60 19x = 174 + -60 Combine like terms: 174 + -60 = 114 19x = 114 Divide each side by '19'. x = 6 Simplifying x = 6
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