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Simplifying 6(x + -4) = -6(-3x + 4) + -6x Reorder the terms: 6(-4 + x) = -6(-3x + 4) + -6x (-4 * 6 + x * 6) = -6(-3x + 4) + -6x (-24 + 6x) = -6(-3x + 4) + -6x Reorder the terms: -24 + 6x = -6(4 + -3x) + -6x -24 + 6x = (4 * -6 + -3x * -6) + -6x -24 + 6x = (-24 + 18x) + -6x Combine like terms: 18x + -6x = 12x -24 + 6x = -24 + 12x Add '24' to each side of the equation. -24 + 24 + 6x = -24 + 24 + 12x Combine like terms: -24 + 24 = 0 0 + 6x = -24 + 24 + 12x 6x = -24 + 24 + 12x Combine like terms: -24 + 24 = 0 6x = 0 + 12x 6x = 12x Solving 6x = 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 6x + -12x = 12x + -12x Combine like terms: 6x + -12x = -6x -6x = 12x + -12x Combine like terms: 12x + -12x = 0 -6x = 0 Divide each side by '-6'. x = 0 Simplifying x = 0
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