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Simplifying 2(3x + -4) + -6(2x + -5) = 0 Reorder the terms: 2(-4 + 3x) + -6(2x + -5) = 0 (-4 * 2 + 3x * 2) + -6(2x + -5) = 0 (-8 + 6x) + -6(2x + -5) = 0 Reorder the terms: -8 + 6x + -6(-5 + 2x) = 0 -8 + 6x + (-5 * -6 + 2x * -6) = 0 -8 + 6x + (30 + -12x) = 0 Reorder the terms: -8 + 30 + 6x + -12x = 0 Combine like terms: -8 + 30 = 22 22 + 6x + -12x = 0 Combine like terms: 6x + -12x = -6x 22 + -6x = 0 Solving 22 + -6x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-22' to each side of the equation. 22 + -22 + -6x = 0 + -22 Combine like terms: 22 + -22 = 0 0 + -6x = 0 + -22 -6x = 0 + -22 Combine like terms: 0 + -22 = -22 -6x = -22 Divide each side by '-6'. x = 3.666666667 Simplifying x = 3.666666667
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