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Simplifying 3(x + -8) + -2(2x + -6) + -4x = 0 Reorder the terms: 3(-8 + x) + -2(2x + -6) + -4x = 0 (-8 * 3 + x * 3) + -2(2x + -6) + -4x = 0 (-24 + 3x) + -2(2x + -6) + -4x = 0 Reorder the terms: -24 + 3x + -2(-6 + 2x) + -4x = 0 -24 + 3x + (-6 * -2 + 2x * -2) + -4x = 0 -24 + 3x + (12 + -4x) + -4x = 0 Reorder the terms: -24 + 12 + 3x + -4x + -4x = 0 Combine like terms: -24 + 12 = -12 -12 + 3x + -4x + -4x = 0 Combine like terms: 3x + -4x = -1x -12 + -1x + -4x = 0 Combine like terms: -1x + -4x = -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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