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Simplifying 6x + 31 = 14x + -42 Reorder the terms: 31 + 6x = 14x + -42 Reorder the terms: 31 + 6x = -42 + 14x Solving 31 + 6x = -42 + 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 + 6x + -14x = -42 + 14x + -14x Combine like terms: 6x + -14x = -8x 31 + -8x = -42 + 14x + -14x Combine like terms: 14x + -14x = 0 31 + -8x = -42 + 0 31 + -8x = -42 Add '-31' to each side of the equation. 31 + -31 + -8x = -42 + -31 Combine like terms: 31 + -31 = 0 0 + -8x = -42 + -31 -8x = -42 + -31 Combine like terms: -42 + -31 = -73 -8x = -73 Divide each side by '-8'. x = 9.125 Simplifying x = 9.125
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