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Simplifying 35(x + -1) + 112x + 5(x + 3) = 1461 Reorder the terms: 35(-1 + x) + 112x + 5(x + 3) = 1461 (-1 * 35 + x * 35) + 112x + 5(x + 3) = 1461 (-35 + 35x) + 112x + 5(x + 3) = 1461 Reorder the terms: -35 + 35x + 112x + 5(3 + x) = 1461 -35 + 35x + 112x + (3 * 5 + x * 5) = 1461 -35 + 35x + 112x + (15 + 5x) = 1461 Reorder the terms: -35 + 15 + 35x + 112x + 5x = 1461 Combine like terms: -35 + 15 = -20 -20 + 35x + 112x + 5x = 1461 Combine like terms: 35x + 112x = 147x -20 + 147x + 5x = 1461 Combine like terms: 147x + 5x = 152x -20 + 152x = 1461 Solving -20 + 152x = 1461 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 + 152x = 1461 + 20 Combine like terms: -20 + 20 = 0 0 + 152x = 1461 + 20 152x = 1461 + 20 Combine like terms: 1461 + 20 = 1481 152x = 1481 Divide each side by '152'. x = 9.743421053 Simplifying x = 9.743421053
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