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Simplifying 6x + 31 = 8x + -117 Reorder the terms: 31 + 6x = 8x + -117 Reorder the terms: 31 + 6x = -117 + 8x Solving 31 + 6x = -117 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 31 + 6x + -8x = -117 + 8x + -8x Combine like terms: 6x + -8x = -2x 31 + -2x = -117 + 8x + -8x Combine like terms: 8x + -8x = 0 31 + -2x = -117 + 0 31 + -2x = -117 Add '-31' to each side of the equation. 31 + -31 + -2x = -117 + -31 Combine like terms: 31 + -31 = 0 0 + -2x = -117 + -31 -2x = -117 + -31 Combine like terms: -117 + -31 = -148 -2x = -148 Divide each side by '-2'. x = 74 Simplifying x = 74
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