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Simplifying 6(3x + 2) + -4(2x + -3) = 0 Reorder the terms: 6(2 + 3x) + -4(2x + -3) = 0 (2 * 6 + 3x * 6) + -4(2x + -3) = 0 (12 + 18x) + -4(2x + -3) = 0 Reorder the terms: 12 + 18x + -4(-3 + 2x) = 0 12 + 18x + (-3 * -4 + 2x * -4) = 0 12 + 18x + (12 + -8x) = 0 Reorder the terms: 12 + 12 + 18x + -8x = 0 Combine like terms: 12 + 12 = 24 24 + 18x + -8x = 0 Combine like terms: 18x + -8x = 10x 24 + 10x = 0 Solving 24 + 10x = 0 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 + 10x = 0 + -24 Combine like terms: 24 + -24 = 0 0 + 10x = 0 + -24 10x = 0 + -24 Combine like terms: 0 + -24 = -24 10x = -24 Divide each side by '10'. x = -2.4 Simplifying x = -2.4
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