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Simplifying 2(4x + -6) + -3(x + 4) = 0 Reorder the terms: 2(-6 + 4x) + -3(x + 4) = 0 (-6 * 2 + 4x * 2) + -3(x + 4) = 0 (-12 + 8x) + -3(x + 4) = 0 Reorder the terms: -12 + 8x + -3(4 + x) = 0 -12 + 8x + (4 * -3 + x * -3) = 0 -12 + 8x + (-12 + -3x) = 0 Reorder the terms: -12 + -12 + 8x + -3x = 0 Combine like terms: -12 + -12 = -24 -24 + 8x + -3x = 0 Combine like terms: 8x + -3x = 5x -24 + 5x = 0 Solving -24 + 5x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '24' to each side of the equation. -24 + 24 + 5x = 0 + 24 Combine like terms: -24 + 24 = 0 0 + 5x = 0 + 24 5x = 0 + 24 Combine like terms: 0 + 24 = 24 5x = 24 Divide each side by '5'. x = 4.8 Simplifying x = 4.8
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