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Simplifying 13x + 17 = 6x + 66 Reorder the terms: 17 + 13x = 6x + 66 Reorder the terms: 17 + 13x = 66 + 6x Solving 17 + 13x = 66 + 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. 17 + 13x + -6x = 66 + 6x + -6x Combine like terms: 13x + -6x = 7x 17 + 7x = 66 + 6x + -6x Combine like terms: 6x + -6x = 0 17 + 7x = 66 + 0 17 + 7x = 66 Add '-17' to each side of the equation. 17 + -17 + 7x = 66 + -17 Combine like terms: 17 + -17 = 0 0 + 7x = 66 + -17 7x = 66 + -17 Combine like terms: 66 + -17 = 49 7x = 49 Divide each side by '7'. x = 7 Simplifying x = 7
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