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Simplifying 13x + 5 = 6(9 + x) Reorder the terms: 5 + 13x = 6(9 + x) 5 + 13x = (9 * 6 + x * 6) 5 + 13x = (54 + 6x) Solving 5 + 13x = 54 + 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. 5 + 13x + -6x = 54 + 6x + -6x Combine like terms: 13x + -6x = 7x 5 + 7x = 54 + 6x + -6x Combine like terms: 6x + -6x = 0 5 + 7x = 54 + 0 5 + 7x = 54 Add '-5' to each side of the equation. 5 + -5 + 7x = 54 + -5 Combine like terms: 5 + -5 = 0 0 + 7x = 54 + -5 7x = 54 + -5 Combine like terms: 54 + -5 = 49 7x = 49 Divide each side by '7'. x = 7 Simplifying x = 7
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