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Simplifying 3(4 + -5x) + -2(5 + -6x) = 0 (4 * 3 + -5x * 3) + -2(5 + -6x) = 0 (12 + -15x) + -2(5 + -6x) = 0 12 + -15x + (5 * -2 + -6x * -2) = 0 12 + -15x + (-10 + 12x) = 0 Reorder the terms: 12 + -10 + -15x + 12x = 0 Combine like terms: 12 + -10 = 2 2 + -15x + 12x = 0 Combine like terms: -15x + 12x = -3x 2 + -3x = 0 Solving 2 + -3x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -3x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -3x = 0 + -2 -3x = 0 + -2 Combine like terms: 0 + -2 = -2 -3x = -2 Divide each side by '-3'. x = 0.6666666667 Simplifying x = 0.6666666667
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