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Simplifying 14x + -27 = 31 + 16x Reorder the terms: -27 + 14x = 31 + 16x Solving -27 + 14x = 31 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. -27 + 14x + -16x = 31 + 16x + -16x Combine like terms: 14x + -16x = -2x -27 + -2x = 31 + 16x + -16x Combine like terms: 16x + -16x = 0 -27 + -2x = 31 + 0 -27 + -2x = 31 Add '27' to each side of the equation. -27 + 27 + -2x = 31 + 27 Combine like terms: -27 + 27 = 0 0 + -2x = 31 + 27 -2x = 31 + 27 Combine like terms: 31 + 27 = 58 -2x = 58 Divide each side by '-2'. x = -29 Simplifying x = -29
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