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Simplifying 2(3x + 6) + -3(7x + -3) = 81 Reorder the terms: 2(6 + 3x) + -3(7x + -3) = 81 (6 * 2 + 3x * 2) + -3(7x + -3) = 81 (12 + 6x) + -3(7x + -3) = 81 Reorder the terms: 12 + 6x + -3(-3 + 7x) = 81 12 + 6x + (-3 * -3 + 7x * -3) = 81 12 + 6x + (9 + -21x) = 81 Reorder the terms: 12 + 9 + 6x + -21x = 81 Combine like terms: 12 + 9 = 21 21 + 6x + -21x = 81 Combine like terms: 6x + -21x = -15x 21 + -15x = 81 Solving 21 + -15x = 81 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-21' to each side of the equation. 21 + -21 + -15x = 81 + -21 Combine like terms: 21 + -21 = 0 0 + -15x = 81 + -21 -15x = 81 + -21 Combine like terms: 81 + -21 = 60 -15x = 60 Divide each side by '-15'. x = -4 Simplifying x = -4
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