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Simplifying (13x + -31) = (x + 53) Reorder the terms: (-31 + 13x) = (x + 53) Remove parenthesis around (-31 + 13x) -31 + 13x = (x + 53) Reorder the terms: -31 + 13x = (53 + x) Remove parenthesis around (53 + x) -31 + 13x = 53 + x Solving -31 + 13x = 53 + 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 = 53 + x + -1x Combine like terms: 13x + -1x = 12x -31 + 12x = 53 + x + -1x Combine like terms: x + -1x = 0 -31 + 12x = 53 + 0 -31 + 12x = 53 Add '31' to each side of the equation. -31 + 31 + 12x = 53 + 31 Combine like terms: -31 + 31 = 0 0 + 12x = 53 + 31 12x = 53 + 31 Combine like terms: 53 + 31 = 84 12x = 84 Divide each side by '12'. x = 7 Simplifying x = 7
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