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Simplifying 12 + 6(3x + -9) + -12x = -66 Reorder the terms: 12 + 6(-9 + 3x) + -12x = -66 12 + (-9 * 6 + 3x * 6) + -12x = -66 12 + (-54 + 18x) + -12x = -66 Combine like terms: 12 + -54 = -42 -42 + 18x + -12x = -66 Combine like terms: 18x + -12x = 6x -42 + 6x = -66 Solving -42 + 6x = -66 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '42' to each side of the equation. -42 + 42 + 6x = -66 + 42 Combine like terms: -42 + 42 = 0 0 + 6x = -66 + 42 6x = -66 + 42 Combine like terms: -66 + 42 = -24 6x = -24 Divide each side by '6'. x = -4 Simplifying x = -4
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