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Simplifying 13x + -138 = 5x + 46 Reorder the terms: -138 + 13x = 5x + 46 Reorder the terms: -138 + 13x = 46 + 5x Solving -138 + 13x = 46 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -138 + 13x + -5x = 46 + 5x + -5x Combine like terms: 13x + -5x = 8x -138 + 8x = 46 + 5x + -5x Combine like terms: 5x + -5x = 0 -138 + 8x = 46 + 0 -138 + 8x = 46 Add '138' to each side of the equation. -138 + 138 + 8x = 46 + 138 Combine like terms: -138 + 138 = 0 0 + 8x = 46 + 138 8x = 46 + 138 Combine like terms: 46 + 138 = 184 8x = 184 Divide each side by '8'. x = 23 Simplifying x = 23
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