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Simplifying 6(2x + 3) + -3(3x + -2) = 22 Reorder the terms: 6(3 + 2x) + -3(3x + -2) = 22 (3 * 6 + 2x * 6) + -3(3x + -2) = 22 (18 + 12x) + -3(3x + -2) = 22 Reorder the terms: 18 + 12x + -3(-2 + 3x) = 22 18 + 12x + (-2 * -3 + 3x * -3) = 22 18 + 12x + (6 + -9x) = 22 Reorder the terms: 18 + 6 + 12x + -9x = 22 Combine like terms: 18 + 6 = 24 24 + 12x + -9x = 22 Combine like terms: 12x + -9x = 3x 24 + 3x = 22 Solving 24 + 3x = 22 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + 3x = 22 + -24 Combine like terms: 24 + -24 = 0 0 + 3x = 22 + -24 3x = 22 + -24 Combine like terms: 22 + -24 = -2 3x = -2 Divide each side by '3'. x = -0.6666666667 Simplifying x = -0.6666666667
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