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Simplifying 2(4x + -3) + -3(x + 2) = 0 Reorder the terms: 2(-3 + 4x) + -3(x + 2) = 0 (-3 * 2 + 4x * 2) + -3(x + 2) = 0 (-6 + 8x) + -3(x + 2) = 0 Reorder the terms: -6 + 8x + -3(2 + x) = 0 -6 + 8x + (2 * -3 + x * -3) = 0 -6 + 8x + (-6 + -3x) = 0 Reorder the terms: -6 + -6 + 8x + -3x = 0 Combine like terms: -6 + -6 = -12 -12 + 8x + -3x = 0 Combine like terms: 8x + -3x = 5x -12 + 5x = 0 Solving -12 + 5x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + 5x = 0 + 12 Combine like terms: -12 + 12 = 0 0 + 5x = 0 + 12 5x = 0 + 12 Combine like terms: 0 + 12 = 12 5x = 12 Divide each side by '5'. x = 2.4 Simplifying x = 2.4
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