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Simplifying x(9) + 13 = x(6) + 82 Reorder the terms for easier multiplication: 9x + 13 = x(6) + 82 Reorder the terms: 13 + 9x = x(6) + 82 Reorder the terms for easier multiplication: 13 + 9x = 6x + 82 Reorder the terms: 13 + 9x = 82 + 6x Solving 13 + 9x = 82 + 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. 13 + 9x + -6x = 82 + 6x + -6x Combine like terms: 9x + -6x = 3x 13 + 3x = 82 + 6x + -6x Combine like terms: 6x + -6x = 0 13 + 3x = 82 + 0 13 + 3x = 82 Add '-13' to each side of the equation. 13 + -13 + 3x = 82 + -13 Combine like terms: 13 + -13 = 0 0 + 3x = 82 + -13 3x = 82 + -13 Combine like terms: 82 + -13 = 69 3x = 69 Divide each side by '3'. x = 23 Simplifying x = 23
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