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Simplifying 7x + -19 + 3x + -17 + 6x + 18 = 174 Reorder the terms: -19 + -17 + 18 + 7x + 3x + 6x = 174 Combine like terms: -19 + -17 = -36 -36 + 18 + 7x + 3x + 6x = 174 Combine like terms: -36 + 18 = -18 -18 + 7x + 3x + 6x = 174 Combine like terms: 7x + 3x = 10x -18 + 10x + 6x = 174 Combine like terms: 10x + 6x = 16x -18 + 16x = 174 Solving -18 + 16x = 174 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + 16x = 174 + 18 Combine like terms: -18 + 18 = 0 0 + 16x = 174 + 18 16x = 174 + 18 Combine like terms: 174 + 18 = 192 16x = 192 Divide each side by '16'. x = 12 Simplifying x = 12
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