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Simplifying 6(2x + 3) + -3(x + -2) = 6 Reorder the terms: 6(3 + 2x) + -3(x + -2) = 6 (3 * 6 + 2x * 6) + -3(x + -2) = 6 (18 + 12x) + -3(x + -2) = 6 Reorder the terms: 18 + 12x + -3(-2 + x) = 6 18 + 12x + (-2 * -3 + x * -3) = 6 18 + 12x + (6 + -3x) = 6 Reorder the terms: 18 + 6 + 12x + -3x = 6 Combine like terms: 18 + 6 = 24 24 + 12x + -3x = 6 Combine like terms: 12x + -3x = 9x 24 + 9x = 6 Solving 24 + 9x = 6 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 + 9x = 6 + -24 Combine like terms: 24 + -24 = 0 0 + 9x = 6 + -24 9x = 6 + -24 Combine like terms: 6 + -24 = -18 9x = -18 Divide each side by '9'. x = -2 Simplifying x = -2
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