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Simplifying 6(x + -6) = 12 + -2x Reorder the terms: 6(-6 + x) = 12 + -2x (-6 * 6 + x * 6) = 12 + -2x (-36 + 6x) = 12 + -2x Solving -36 + 6x = 12 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -36 + 6x + 2x = 12 + -2x + 2x Combine like terms: 6x + 2x = 8x -36 + 8x = 12 + -2x + 2x Combine like terms: -2x + 2x = 0 -36 + 8x = 12 + 0 -36 + 8x = 12 Add '36' to each side of the equation. -36 + 36 + 8x = 12 + 36 Combine like terms: -36 + 36 = 0 0 + 8x = 12 + 36 8x = 12 + 36 Combine like terms: 12 + 36 = 48 8x = 48 Divide each side by '8'. x = 6 Simplifying x = 6
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