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Simplifying 6(x + -3) + -5(4x + -2) = 0 Reorder the terms: 6(-3 + x) + -5(4x + -2) = 0 (-3 * 6 + x * 6) + -5(4x + -2) = 0 (-18 + 6x) + -5(4x + -2) = 0 Reorder the terms: -18 + 6x + -5(-2 + 4x) = 0 -18 + 6x + (-2 * -5 + 4x * -5) = 0 -18 + 6x + (10 + -20x) = 0 Reorder the terms: -18 + 10 + 6x + -20x = 0 Combine like terms: -18 + 10 = -8 -8 + 6x + -20x = 0 Combine like terms: 6x + -20x = -14x -8 + -14x = 0 Solving -8 + -14x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + -14x = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -14x = 0 + 8 -14x = 0 + 8 Combine like terms: 0 + 8 = 8 -14x = 8 Divide each side by '-14'. x = -0.5714285714 Simplifying x = -0.5714285714
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