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Simplifying 4x + 31 = 14x + -51 Reorder the terms: 31 + 4x = 14x + -51 Reorder the terms: 31 + 4x = -51 + 14x Solving 31 + 4x = -51 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. 31 + 4x + -14x = -51 + 14x + -14x Combine like terms: 4x + -14x = -10x 31 + -10x = -51 + 14x + -14x Combine like terms: 14x + -14x = 0 31 + -10x = -51 + 0 31 + -10x = -51 Add '-31' to each side of the equation. 31 + -31 + -10x = -51 + -31 Combine like terms: 31 + -31 = 0 0 + -10x = -51 + -31 -10x = -51 + -31 Combine like terms: -51 + -31 = -82 -10x = -82 Divide each side by '-10'. x = 8.2 Simplifying x = 8.2
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