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Simplifying 32(x + -1) + 117x + 11(x + 3) = 621 Reorder the terms: 32(-1 + x) + 117x + 11(x + 3) = 621 (-1 * 32 + x * 32) + 117x + 11(x + 3) = 621 (-32 + 32x) + 117x + 11(x + 3) = 621 Reorder the terms: -32 + 32x + 117x + 11(3 + x) = 621 -32 + 32x + 117x + (3 * 11 + x * 11) = 621 -32 + 32x + 117x + (33 + 11x) = 621 Reorder the terms: -32 + 33 + 32x + 117x + 11x = 621 Combine like terms: -32 + 33 = 1 1 + 32x + 117x + 11x = 621 Combine like terms: 32x + 117x = 149x 1 + 149x + 11x = 621 Combine like terms: 149x + 11x = 160x 1 + 160x = 621 Solving 1 + 160x = 621 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 + 160x = 621 + -1 Combine like terms: 1 + -1 = 0 0 + 160x = 621 + -1 160x = 621 + -1 Combine like terms: 621 + -1 = 620 160x = 620 Divide each side by '160'. x = 3.875 Simplifying x = 3.875
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