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Simplifying x * 13 + 12 = x * 6 + 96 Reorder the terms for easier multiplication: 13x + 12 = x * 6 + 96 Reorder the terms: 12 + 13x = x * 6 + 96 Reorder the terms for easier multiplication: 12 + 13x = 6x + 96 Reorder the terms: 12 + 13x = 96 + 6x Solving 12 + 13x = 96 + 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. 12 + 13x + -6x = 96 + 6x + -6x Combine like terms: 13x + -6x = 7x 12 + 7x = 96 + 6x + -6x Combine like terms: 6x + -6x = 0 12 + 7x = 96 + 0 12 + 7x = 96 Add '-12' to each side of the equation. 12 + -12 + 7x = 96 + -12 Combine like terms: 12 + -12 = 0 0 + 7x = 96 + -12 7x = 96 + -12 Combine like terms: 96 + -12 = 84 7x = 84 Divide each side by '7'. x = 12 Simplifying x = 12
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