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Simplifying 13x + 37 = 6x + 121 Reorder the terms: 37 + 13x = 6x + 121 Reorder the terms: 37 + 13x = 121 + 6x Solving 37 + 13x = 121 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 37 + 13x + -6x = 121 + 6x + -6x Combine like terms: 13x + -6x = 7x 37 + 7x = 121 + 6x + -6x Combine like terms: 6x + -6x = 0 37 + 7x = 121 + 0 37 + 7x = 121 Add '-37' to each side of the equation. 37 + -37 + 7x = 121 + -37 Combine like terms: 37 + -37 = 0 0 + 7x = 121 + -37 7x = 121 + -37 Combine like terms: 121 + -37 = 84 7x = 84 Divide each side by '7'. x = 12 Simplifying x = 12
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