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Simplifying 2(1 + 6x) = 36 + -5x (1 * 2 + 6x * 2) = 36 + -5x (2 + 12x) = 36 + -5x Solving 2 + 12x = 36 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 2 + 12x + 5x = 36 + -5x + 5x Combine like terms: 12x + 5x = 17x 2 + 17x = 36 + -5x + 5x Combine like terms: -5x + 5x = 0 2 + 17x = 36 + 0 2 + 17x = 36 Add '-2' to each side of the equation. 2 + -2 + 17x = 36 + -2 Combine like terms: 2 + -2 = 0 0 + 17x = 36 + -2 17x = 36 + -2 Combine like terms: 36 + -2 = 34 17x = 34 Divide each side by '17'. x = 2 Simplifying x = 2
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