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Simplifying 6(3x + 9) + -3(2x + -1) = 33 Reorder the terms: 6(9 + 3x) + -3(2x + -1) = 33 (9 * 6 + 3x * 6) + -3(2x + -1) = 33 (54 + 18x) + -3(2x + -1) = 33 Reorder the terms: 54 + 18x + -3(-1 + 2x) = 33 54 + 18x + (-1 * -3 + 2x * -3) = 33 54 + 18x + (3 + -6x) = 33 Reorder the terms: 54 + 3 + 18x + -6x = 33 Combine like terms: 54 + 3 = 57 57 + 18x + -6x = 33 Combine like terms: 18x + -6x = 12x 57 + 12x = 33 Solving 57 + 12x = 33 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-57' to each side of the equation. 57 + -57 + 12x = 33 + -57 Combine like terms: 57 + -57 = 0 0 + 12x = 33 + -57 12x = 33 + -57 Combine like terms: 33 + -57 = -24 12x = -24 Divide each side by '12'. x = -2 Simplifying x = -2
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