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Simplifying 14x + 17x + -6 + 1 = -5x + 1 + -6 Reorder the terms: -6 + 1 + 14x + 17x = -5x + 1 + -6 Combine like terms: -6 + 1 = -5 -5 + 14x + 17x = -5x + 1 + -6 Combine like terms: 14x + 17x = 31x -5 + 31x = -5x + 1 + -6 Reorder the terms: -5 + 31x = 1 + -6 + -5x Combine like terms: 1 + -6 = -5 -5 + 31x = -5 + -5x Add '5' to each side of the equation. -5 + 5 + 31x = -5 + 5 + -5x Combine like terms: -5 + 5 = 0 0 + 31x = -5 + 5 + -5x 31x = -5 + 5 + -5x Combine like terms: -5 + 5 = 0 31x = 0 + -5x 31x = -5x Solving 31x = -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 31x + 5x = -5x + 5x Combine like terms: 31x + 5x = 36x 36x = -5x + 5x Combine like terms: -5x + 5x = 0 36x = 0 Divide each side by '36'. x = 0 Simplifying x = 0
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