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Simplifying 14x + 17x + -6 + 5 = -6x + 5 + -6 Reorder the terms: -6 + 5 + 14x + 17x = -6x + 5 + -6 Combine like terms: -6 + 5 = -1 -1 + 14x + 17x = -6x + 5 + -6 Combine like terms: 14x + 17x = 31x -1 + 31x = -6x + 5 + -6 Reorder the terms: -1 + 31x = 5 + -6 + -6x Combine like terms: 5 + -6 = -1 -1 + 31x = -1 + -6x Add '1' to each side of the equation. -1 + 1 + 31x = -1 + 1 + -6x Combine like terms: -1 + 1 = 0 0 + 31x = -1 + 1 + -6x 31x = -1 + 1 + -6x Combine like terms: -1 + 1 = 0 31x = 0 + -6x 31x = -6x Solving 31x = -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 31x + 6x = -6x + 6x Combine like terms: 31x + 6x = 37x 37x = -6x + 6x Combine like terms: -6x + 6x = 0 37x = 0 Divide each side by '37'. x = 0 Simplifying x = 0
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