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Simplifying 13x + -31 = x + 52 Reorder the terms: -31 + 13x = x + 52 Reorder the terms: -31 + 13x = 52 + x Solving -31 + 13x = 52 + 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. -31 + 13x + -1x = 52 + x + -1x Combine like terms: 13x + -1x = 12x -31 + 12x = 52 + x + -1x Combine like terms: x + -1x = 0 -31 + 12x = 52 + 0 -31 + 12x = 52 Add '31' to each side of the equation. -31 + 31 + 12x = 52 + 31 Combine like terms: -31 + 31 = 0 0 + 12x = 52 + 31 12x = 52 + 31 Combine like terms: 52 + 31 = 83 12x = 83 Divide each side by '12'. x = 6.916666667 Simplifying x = 6.916666667
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