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Simplifying 6(x + -6) = 72 + -6x Reorder the terms: 6(-6 + x) = 72 + -6x (-6 * 6 + x * 6) = 72 + -6x (-36 + 6x) = 72 + -6x Solving -36 + 6x = 72 + -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. -36 + 6x + 6x = 72 + -6x + 6x Combine like terms: 6x + 6x = 12x -36 + 12x = 72 + -6x + 6x Combine like terms: -6x + 6x = 0 -36 + 12x = 72 + 0 -36 + 12x = 72 Add '36' to each side of the equation. -36 + 36 + 12x = 72 + 36 Combine like terms: -36 + 36 = 0 0 + 12x = 72 + 36 12x = 72 + 36 Combine like terms: 72 + 36 = 108 12x = 108 Divide each side by '12'. x = 9 Simplifying x = 9
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