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Simplifying 3x + 14 = -31 + -6x Reorder the terms: 14 + 3x = -31 + -6x Solving 14 + 3x = -31 + -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. 14 + 3x + 6x = -31 + -6x + 6x Combine like terms: 3x + 6x = 9x 14 + 9x = -31 + -6x + 6x Combine like terms: -6x + 6x = 0 14 + 9x = -31 + 0 14 + 9x = -31 Add '-14' to each side of the equation. 14 + -14 + 9x = -31 + -14 Combine like terms: 14 + -14 = 0 0 + 9x = -31 + -14 9x = -31 + -14 Combine like terms: -31 + -14 = -45 9x = -45 Divide each side by '9'. x = -5 Simplifying x = -5
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