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Simplifying 9(3x + -6) + -6(7x + -3) = 12 Reorder the terms: 9(-6 + 3x) + -6(7x + -3) = 12 (-6 * 9 + 3x * 9) + -6(7x + -3) = 12 (-54 + 27x) + -6(7x + -3) = 12 Reorder the terms: -54 + 27x + -6(-3 + 7x) = 12 -54 + 27x + (-3 * -6 + 7x * -6) = 12 -54 + 27x + (18 + -42x) = 12 Reorder the terms: -54 + 18 + 27x + -42x = 12 Combine like terms: -54 + 18 = -36 -36 + 27x + -42x = 12 Combine like terms: 27x + -42x = -15x -36 + -15x = 12 Solving -36 + -15x = 12 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 + -15x = 12 + 36 Combine like terms: -36 + 36 = 0 0 + -15x = 12 + 36 -15x = 12 + 36 Combine like terms: 12 + 36 = 48 -15x = 48 Divide each side by '-15'. x = -3.2 Simplifying x = -3.2
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