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Simplifying 6x + -1 + 5x + 3 + 4x + -8 = 174 Reorder the terms: -1 + 3 + -8 + 6x + 5x + 4x = 174 Combine like terms: -1 + 3 = 2 2 + -8 + 6x + 5x + 4x = 174 Combine like terms: 2 + -8 = -6 -6 + 6x + 5x + 4x = 174 Combine like terms: 6x + 5x = 11x -6 + 11x + 4x = 174 Combine like terms: 11x + 4x = 15x -6 + 15x = 174 Solving -6 + 15x = 174 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + 15x = 174 + 6 Combine like terms: -6 + 6 = 0 0 + 15x = 174 + 6 15x = 174 + 6 Combine like terms: 174 + 6 = 180 15x = 180 Divide each side by '15'. x = 12 Simplifying x = 12
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