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Simplifying 4(3x + -2) + -1(6x + -5) = 0 Reorder the terms: 4(-2 + 3x) + -1(6x + -5) = 0 (-2 * 4 + 3x * 4) + -1(6x + -5) = 0 (-8 + 12x) + -1(6x + -5) = 0 Reorder the terms: -8 + 12x + -1(-5 + 6x) = 0 -8 + 12x + (-5 * -1 + 6x * -1) = 0 -8 + 12x + (5 + -6x) = 0 Reorder the terms: -8 + 5 + 12x + -6x = 0 Combine like terms: -8 + 5 = -3 -3 + 12x + -6x = 0 Combine like terms: 12x + -6x = 6x -3 + 6x = 0 Solving -3 + 6x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 6x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 6x = 0 + 3 6x = 0 + 3 Combine like terms: 0 + 3 = 3 6x = 3 Divide each side by '6'. x = 0.5 Simplifying x = 0.5
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