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Simplifying 3x(5 + 6) = 2(1 + -6x) Combine like terms: 5 + 6 = 11 3x(11) = 2(1 + -6x) Reorder the terms for easier multiplication: 3 * 11x = 2(1 + -6x) Multiply 3 * 11 33x = 2(1 + -6x) 33x = (1 * 2 + -6x * 2) 33x = (2 + -12x) Solving 33x = 2 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. 33x + 12x = 2 + -12x + 12x Combine like terms: 33x + 12x = 45x 45x = 2 + -12x + 12x Combine like terms: -12x + 12x = 0 45x = 2 + 0 45x = 2 Divide each side by '45'. x = 0.04444444444 Simplifying x = 0.04444444444
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