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Simplifying 13x + 15 = 6x + 22 Reorder the terms: 15 + 13x = 6x + 22 Reorder the terms: 15 + 13x = 22 + 6x Solving 15 + 13x = 22 + 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. 15 + 13x + -6x = 22 + 6x + -6x Combine like terms: 13x + -6x = 7x 15 + 7x = 22 + 6x + -6x Combine like terms: 6x + -6x = 0 15 + 7x = 22 + 0 15 + 7x = 22 Add '-15' to each side of the equation. 15 + -15 + 7x = 22 + -15 Combine like terms: 15 + -15 = 0 0 + 7x = 22 + -15 7x = 22 + -15 Combine like terms: 22 + -15 = 7 7x = 7 Divide each side by '7'. x = 1 Simplifying x = 1
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