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Simplifying 10(x + -4) + 5(1 + 10x) = 0 Reorder the terms: 10(-4 + x) + 5(1 + 10x) = 0 (-4 * 10 + x * 10) + 5(1 + 10x) = 0 (-40 + 10x) + 5(1 + 10x) = 0 -40 + 10x + (1 * 5 + 10x * 5) = 0 -40 + 10x + (5 + 50x) = 0 Reorder the terms: -40 + 5 + 10x + 50x = 0 Combine like terms: -40 + 5 = -35 -35 + 10x + 50x = 0 Combine like terms: 10x + 50x = 60x -35 + 60x = 0 Solving -35 + 60x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '35' to each side of the equation. -35 + 35 + 60x = 0 + 35 Combine like terms: -35 + 35 = 0 0 + 60x = 0 + 35 60x = 0 + 35 Combine like terms: 0 + 35 = 35 60x = 35 Divide each side by '60'. x = 0.5833333333 Simplifying x = 0.5833333333
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