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Simplifying 4(6 + -1x) = -12(x + -2) (6 * 4 + -1x * 4) = -12(x + -2) (24 + -4x) = -12(x + -2) Reorder the terms: 24 + -4x = -12(-2 + x) 24 + -4x = (-2 * -12 + x * -12) 24 + -4x = (24 + -12x) Add '-24' to each side of the equation. 24 + -24 + -4x = 24 + -24 + -12x Combine like terms: 24 + -24 = 0 0 + -4x = 24 + -24 + -12x -4x = 24 + -24 + -12x Combine like terms: 24 + -24 = 0 -4x = 0 + -12x -4x = -12x Solving -4x = -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. -4x + 12x = -12x + 12x Combine like terms: -4x + 12x = 8x 8x = -12x + 12x Combine like terms: -12x + 12x = 0 8x = 0 Divide each side by '8'. x = 0 Simplifying x = 0
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