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Simplifying 35(x + -1) + 112x + 5(x + 2) = 1461 Reorder the terms: 35(-1 + x) + 112x + 5(x + 2) = 1461 (-1 * 35 + x * 35) + 112x + 5(x + 2) = 1461 (-35 + 35x) + 112x + 5(x + 2) = 1461 Reorder the terms: -35 + 35x + 112x + 5(2 + x) = 1461 -35 + 35x + 112x + (2 * 5 + x * 5) = 1461 -35 + 35x + 112x + (10 + 5x) = 1461 Reorder the terms: -35 + 10 + 35x + 112x + 5x = 1461 Combine like terms: -35 + 10 = -25 -25 + 35x + 112x + 5x = 1461 Combine like terms: 35x + 112x = 147x -25 + 147x + 5x = 1461 Combine like terms: 147x + 5x = 152x -25 + 152x = 1461 Solving -25 + 152x = 1461 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '25' to each side of the equation. -25 + 25 + 152x = 1461 + 25 Combine like terms: -25 + 25 = 0 0 + 152x = 1461 + 25 152x = 1461 + 25 Combine like terms: 1461 + 25 = 1486 152x = 1486 Divide each side by '152'. x = 9.776315789 Simplifying x = 9.776315789
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