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Simplifying 31(x + -1) + 117x + 10(x + 3) = 1394 Reorder the terms: 31(-1 + x) + 117x + 10(x + 3) = 1394 (-1 * 31 + x * 31) + 117x + 10(x + 3) = 1394 (-31 + 31x) + 117x + 10(x + 3) = 1394 Reorder the terms: -31 + 31x + 117x + 10(3 + x) = 1394 -31 + 31x + 117x + (3 * 10 + x * 10) = 1394 -31 + 31x + 117x + (30 + 10x) = 1394 Reorder the terms: -31 + 30 + 31x + 117x + 10x = 1394 Combine like terms: -31 + 30 = -1 -1 + 31x + 117x + 10x = 1394 Combine like terms: 31x + 117x = 148x -1 + 148x + 10x = 1394 Combine like terms: 148x + 10x = 158x -1 + 158x = 1394 Solving -1 + 158x = 1394 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 158x = 1394 + 1 Combine like terms: -1 + 1 = 0 0 + 158x = 1394 + 1 158x = 1394 + 1 Combine like terms: 1394 + 1 = 1395 158x = 1395 Divide each side by '158'. x = 8.829113924 Simplifying x = 8.829113924
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