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Simplifying 9(4x + 6) + -6(7x + -3) = 12 Reorder the terms: 9(6 + 4x) + -6(7x + -3) = 12 (6 * 9 + 4x * 9) + -6(7x + -3) = 12 (54 + 36x) + -6(7x + -3) = 12 Reorder the terms: 54 + 36x + -6(-3 + 7x) = 12 54 + 36x + (-3 * -6 + 7x * -6) = 12 54 + 36x + (18 + -42x) = 12 Reorder the terms: 54 + 18 + 36x + -42x = 12 Combine like terms: 54 + 18 = 72 72 + 36x + -42x = 12 Combine like terms: 36x + -42x = -6x 72 + -6x = 12 Solving 72 + -6x = 12 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-72' to each side of the equation. 72 + -72 + -6x = 12 + -72 Combine like terms: 72 + -72 = 0 0 + -6x = 12 + -72 -6x = 12 + -72 Combine like terms: 12 + -72 = -60 -6x = -60 Divide each side by '-6'. x = 10 Simplifying x = 10
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