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Simplifying 2(2x + -3) + 3(x + 4) = 0 Reorder the terms: 2(-3 + 2x) + 3(x + 4) = 0 (-3 * 2 + 2x * 2) + 3(x + 4) = 0 (-6 + 4x) + 3(x + 4) = 0 Reorder the terms: -6 + 4x + 3(4 + x) = 0 -6 + 4x + (4 * 3 + x * 3) = 0 -6 + 4x + (12 + 3x) = 0 Reorder the terms: -6 + 12 + 4x + 3x = 0 Combine like terms: -6 + 12 = 6 6 + 4x + 3x = 0 Combine like terms: 4x + 3x = 7x 6 + 7x = 0 Solving 6 + 7x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. 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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