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Simplifying 12(10x + -2) = -6(4 + x) Reorder the terms: 12(-2 + 10x) = -6(4 + x) (-2 * 12 + 10x * 12) = -6(4 + x) (-24 + 120x) = -6(4 + x) -24 + 120x = (4 * -6 + x * -6) -24 + 120x = (-24 + -6x) Add '24' to each side of the equation. -24 + 24 + 120x = -24 + 24 + -6x Combine like terms: -24 + 24 = 0 0 + 120x = -24 + 24 + -6x 120x = -24 + 24 + -6x Combine like terms: -24 + 24 = 0 120x = 0 + -6x 120x = -6x Solving 120x = -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 120x + 6x = -6x + 6x Combine like terms: 120x + 6x = 126x 126x = -6x + 6x Combine like terms: -6x + 6x = 0 126x = 0 Divide each side by '126'. x = 0 Simplifying x = 0
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