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Simplifying 47(x + -1) = 35x Reorder the terms: 47(-1 + x) = 35x (-1 * 47 + x * 47) = 35x (-47 + 47x) = 35x Solving -47 + 47x = 35x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-35x' to each side of the equation. -47 + 47x + -35x = 35x + -35x Combine like terms: 47x + -35x = 12x -47 + 12x = 35x + -35x Combine like terms: 35x + -35x = 0 -47 + 12x = 0 Add '47' to each side of the equation. -47 + 47 + 12x = 0 + 47 Combine like terms: -47 + 47 = 0 0 + 12x = 0 + 47 12x = 0 + 47 Combine like terms: 0 + 47 = 47 12x = 47 Divide each side by '12'. x = 3.916666667 Simplifying x = 3.916666667
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