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Simplifying -2(x + 12) = -8x + 30 Reorder the terms: -2(12 + x) = -8x + 30 (12 * -2 + x * -2) = -8x + 30 (-24 + -2x) = -8x + 30 Reorder the terms: -24 + -2x = 30 + -8x Solving -24 + -2x = 30 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. -24 + -2x + 8x = 30 + -8x + 8x Combine like terms: -2x + 8x = 6x -24 + 6x = 30 + -8x + 8x Combine like terms: -8x + 8x = 0 -24 + 6x = 30 + 0 -24 + 6x = 30 Add '24' to each side of the equation. -24 + 24 + 6x = 30 + 24 Combine like terms: -24 + 24 = 0 0 + 6x = 30 + 24 6x = 30 + 24 Combine like terms: 30 + 24 = 54 6x = 54 Divide each side by '6'. x = 9 Simplifying x = 9
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