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Simplifying 4(3x + -8) + -3(2x + 4) = 0 Reorder the terms: 4(-8 + 3x) + -3(2x + 4) = 0 (-8 * 4 + 3x * 4) + -3(2x + 4) = 0 (-32 + 12x) + -3(2x + 4) = 0 Reorder the terms: -32 + 12x + -3(4 + 2x) = 0 -32 + 12x + (4 * -3 + 2x * -3) = 0 -32 + 12x + (-12 + -6x) = 0 Reorder the terms: -32 + -12 + 12x + -6x = 0 Combine like terms: -32 + -12 = -44 -44 + 12x + -6x = 0 Combine like terms: 12x + -6x = 6x -44 + 6x = 0 Solving -44 + 6x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '44' to each side of the equation. -44 + 44 + 6x = 0 + 44 Combine like terms: -44 + 44 = 0 0 + 6x = 0 + 44 6x = 0 + 44 Combine like terms: 0 + 44 = 44 6x = 44 Divide each side by '6'. x = 7.333333333 Simplifying x = 7.333333333
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