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Simplifying 6x + -84 = 31 + x Reorder the terms: -84 + 6x = 31 + x Solving -84 + 6x = 31 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -84 + 6x + -1x = 31 + x + -1x Combine like terms: 6x + -1x = 5x -84 + 5x = 31 + x + -1x Combine like terms: x + -1x = 0 -84 + 5x = 31 + 0 -84 + 5x = 31 Add '84' to each side of the equation. -84 + 84 + 5x = 31 + 84 Combine like terms: -84 + 84 = 0 0 + 5x = 31 + 84 5x = 31 + 84 Combine like terms: 31 + 84 = 115 5x = 115 Divide each side by '5'. x = 23 Simplifying x = 23
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