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Simplifying 10(6x + -4) + -5(6x + -4) = 0 Reorder the terms: 10(-4 + 6x) + -5(6x + -4) = 0 (-4 * 10 + 6x * 10) + -5(6x + -4) = 0 (-40 + 60x) + -5(6x + -4) = 0 Reorder the terms: -40 + 60x + -5(-4 + 6x) = 0 -40 + 60x + (-4 * -5 + 6x * -5) = 0 -40 + 60x + (20 + -30x) = 0 Reorder the terms: -40 + 20 + 60x + -30x = 0 Combine like terms: -40 + 20 = -20 -20 + 60x + -30x = 0 Combine like terms: 60x + -30x = 30x -20 + 30x = 0 Solving -20 + 30x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 20 + 30x = 0 + 20 Combine like terms: -20 + 20 = 0 0 + 30x = 0 + 20 30x = 0 + 20 Combine like terms: 0 + 20 = 20 30x = 20 Divide each side by '30'. x = 0.6666666667 Simplifying x = 0.6666666667
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