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Simplifying 32(x + -1) + 117x + 10(x + 3) = 1461 Reorder the terms: 32(-1 + x) + 117x + 10(x + 3) = 1461 (-1 * 32 + x * 32) + 117x + 10(x + 3) = 1461 (-32 + 32x) + 117x + 10(x + 3) = 1461 Reorder the terms: -32 + 32x + 117x + 10(3 + x) = 1461 -32 + 32x + 117x + (3 * 10 + x * 10) = 1461 -32 + 32x + 117x + (30 + 10x) = 1461 Reorder the terms: -32 + 30 + 32x + 117x + 10x = 1461 Combine like terms: -32 + 30 = -2 -2 + 32x + 117x + 10x = 1461 Combine like terms: 32x + 117x = 149x -2 + 149x + 10x = 1461 Combine like terms: 149x + 10x = 159x -2 + 159x = 1461 Solving -2 + 159x = 1461 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 159x = 1461 + 2 Combine like terms: -2 + 2 = 0 0 + 159x = 1461 + 2 159x = 1461 + 2 Combine like terms: 1461 + 2 = 1463 159x = 1463 Divide each side by '159'. x = 9.201257862 Simplifying x = 9.201257862
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