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Simplifying 6(3x + -4) + -5(4x + -2) = 0 Reorder the terms: 6(-4 + 3x) + -5(4x + -2) = 0 (-4 * 6 + 3x * 6) + -5(4x + -2) = 0 (-24 + 18x) + -5(4x + -2) = 0 Reorder the terms: -24 + 18x + -5(-2 + 4x) = 0 -24 + 18x + (-2 * -5 + 4x * -5) = 0 -24 + 18x + (10 + -20x) = 0 Reorder the terms: -24 + 10 + 18x + -20x = 0 Combine like terms: -24 + 10 = -14 -14 + 18x + -20x = 0 Combine like terms: 18x + -20x = -2x -14 + -2x = 0 Solving -14 + -2x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + -2x = 0 + 14 Combine like terms: -14 + 14 = 0 0 + -2x = 0 + 14 -2x = 0 + 14 Combine like terms: 0 + 14 = 14 -2x = 14 Divide each side by '-2'. x = -7 Simplifying x = -7
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