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Simplifying (12x + 1) * 2 = 26x + -8 Reorder the terms: (1 + 12x) * 2 = 26x + -8 Reorder the terms for easier multiplication: 2(1 + 12x) = 26x + -8 (1 * 2 + 12x * 2) = 26x + -8 (2 + 24x) = 26x + -8 Reorder the terms: 2 + 24x = -8 + 26x Solving 2 + 24x = -8 + 26x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-26x' to each side of the equation. 2 + 24x + -26x = -8 + 26x + -26x Combine like terms: 24x + -26x = -2x 2 + -2x = -8 + 26x + -26x Combine like terms: 26x + -26x = 0 2 + -2x = -8 + 0 2 + -2x = -8 Add '-2' to each side of the equation. 2 + -2 + -2x = -8 + -2 Combine like terms: 2 + -2 = 0 0 + -2x = -8 + -2 -2x = -8 + -2 Combine like terms: -8 + -2 = -10 -2x = -10 Divide each side by '-2'. x = 5 Simplifying x = 5
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