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Simplifying 29 + 13x = 85 + 6x Solving 29 + 13x = 85 + 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. 29 + 13x + -6x = 85 + 6x + -6x Combine like terms: 13x + -6x = 7x 29 + 7x = 85 + 6x + -6x Combine like terms: 6x + -6x = 0 29 + 7x = 85 + 0 29 + 7x = 85 Add '-29' to each side of the equation. 29 + -29 + 7x = 85 + -29 Combine like terms: 29 + -29 = 0 0 + 7x = 85 + -29 7x = 85 + -29 Combine like terms: 85 + -29 = 56 7x = 56 Divide each side by '7'. x = 8 Simplifying x = 8
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