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Simplifying 6(x + -6) = x(x + -1x) Reorder the terms: 6(-6 + x) = x(x + -1x) (-6 * 6 + x * 6) = x(x + -1x) (-36 + 6x) = x(x + -1x) Combine like terms: x + -1x = 0 -36 + 6x = x(0) Reorder the terms for easier multiplication: -36 + 6x = 0x Anything times zero is zero. -36 + 6x = 0x Solving -36 + 6x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '36' to each side of the equation. -36 + 36 + 6x = 0 + 36 Combine like terms: -36 + 36 = 0 0 + 6x = 0 + 36 6x = 0 + 36 Combine like terms: 0 + 36 = 36 6x = 36 Divide each side by '6'. x = 6 Simplifying x = 6
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