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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 = 72 72 + 27x + -42x = 12 Combine like terms: 27x + -42x = -15x 72 + -15x = 12 Solving 72 + -15x = 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 + -15x = 12 + -72 Combine like terms: 72 + -72 = 0 0 + -15x = 12 + -72 -15x = 12 + -72 Combine like terms: 12 + -72 = -60 -15x = -60 Divide each side by '-15'. x = 4 Simplifying x = 4
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