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Simplifying 3(x + -2) + 2(3xy + 6) = 6xy + -4x Reorder the terms: 3(-2 + x) + 2(3xy + 6) = 6xy + -4x (-2 * 3 + x * 3) + 2(3xy + 6) = 6xy + -4x (-6 + 3x) + 2(3xy + 6) = 6xy + -4x Reorder the terms: -6 + 3x + 2(6 + 3xy) = 6xy + -4x -6 + 3x + (6 * 2 + 3xy * 2) = 6xy + -4x -6 + 3x + (12 + 6xy) = 6xy + -4x Reorder the terms: -6 + 12 + 3x + 6xy = 6xy + -4x Combine like terms: -6 + 12 = 6 6 + 3x + 6xy = 6xy + -4x Reorder the terms: 6 + 3x + 6xy = -4x + 6xy Add '-6xy' to each side of the equation. 6 + 3x + 6xy + -6xy = -4x + 6xy + -6xy Combine like terms: 6xy + -6xy = 0 6 + 3x + 0 = -4x + 6xy + -6xy 6 + 3x = -4x + 6xy + -6xy Combine like terms: 6xy + -6xy = 0 6 + 3x = -4x + 0 6 + 3x = -4x Solving 6 + 3x = -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 6 + 3x + 4x = -4x + 4x Combine like terms: 3x + 4x = 7x 6 + 7x = -4x + 4x Combine like terms: -4x + 4x = 0 6 + 7x = 0 Add '-6' to each side of the equation. 6 + -6 + 7x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 7x = 0 + -6 7x = 0 + -6 Combine like terms: 0 + -6 = -6 7x = -6 Divide each side by '7'. x = -0.8571428571 Simplifying x = -0.8571428571
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