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Simplifying 13(x + -3) = x + 83 Reorder the terms: 13(-3 + x) = x + 83 (-3 * 13 + x * 13) = x + 83 (-39 + 13x) = x + 83 Reorder the terms: -39 + 13x = 83 + x Solving -39 + 13x = 83 + 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. -39 + 13x + -1x = 83 + x + -1x Combine like terms: 13x + -1x = 12x -39 + 12x = 83 + x + -1x Combine like terms: x + -1x = 0 -39 + 12x = 83 + 0 -39 + 12x = 83 Add '39' to each side of the equation. -39 + 39 + 12x = 83 + 39 Combine like terms: -39 + 39 = 0 0 + 12x = 83 + 39 12x = 83 + 39 Combine like terms: 83 + 39 = 122 12x = 122 Divide each side by '12'. x = 10.16666667 Simplifying x = 10.16666667
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