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Simplifying 6(2x + 1) = 2x + 26 Reorder the terms: 6(1 + 2x) = 2x + 26 (1 * 6 + 2x * 6) = 2x + 26 (6 + 12x) = 2x + 26 Reorder the terms: 6 + 12x = 26 + 2x Solving 6 + 12x = 26 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 6 + 12x + -2x = 26 + 2x + -2x Combine like terms: 12x + -2x = 10x 6 + 10x = 26 + 2x + -2x Combine like terms: 2x + -2x = 0 6 + 10x = 26 + 0 6 + 10x = 26 Add '-6' to each side of the equation. 6 + -6 + 10x = 26 + -6 Combine like terms: 6 + -6 = 0 0 + 10x = 26 + -6 10x = 26 + -6 Combine like terms: 26 + -6 = 20 10x = 20 Divide each side by '10'. x = 2 Simplifying x = 2
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