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Simplifying 7x + 6(2x + -9) = 174 Reorder the terms: 7x + 6(-9 + 2x) = 174 7x + (-9 * 6 + 2x * 6) = 174 7x + (-54 + 12x) = 174 Reorder the terms: -54 + 7x + 12x = 174 Combine like terms: 7x + 12x = 19x -54 + 19x = 174 Solving -54 + 19x = 174 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '54' to each side of the equation. -54 + 54 + 19x = 174 + 54 Combine like terms: -54 + 54 = 0 0 + 19x = 174 + 54 19x = 174 + 54 Combine like terms: 174 + 54 = 228 19x = 228 Divide each side by '19'. x = 12 Simplifying x = 12
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