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Simplifying 4(3x + -2) + -5(2x + -6) = 0 Reorder the terms: 4(-2 + 3x) + -5(2x + -6) = 0 (-2 * 4 + 3x * 4) + -5(2x + -6) = 0 (-8 + 12x) + -5(2x + -6) = 0 Reorder the terms: -8 + 12x + -5(-6 + 2x) = 0 -8 + 12x + (-6 * -5 + 2x * -5) = 0 -8 + 12x + (30 + -10x) = 0 Reorder the terms: -8 + 30 + 12x + -10x = 0 Combine like terms: -8 + 30 = 22 22 + 12x + -10x = 0 Combine like terms: 12x + -10x = 2x 22 + 2x = 0 Solving 22 + 2x = 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 + 2x = 0 + -22 Combine like terms: 22 + -22 = 0 0 + 2x = 0 + -22 2x = 0 + -22 Combine like terms: 0 + -22 = -22 2x = -22 Divide each side by '2'. x = -11 Simplifying x = -11
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