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Simplifying 20(-5x + 22) = 32(x + -2) Reorder the terms: 20(22 + -5x) = 32(x + -2) (22 * 20 + -5x * 20) = 32(x + -2) (440 + -100x) = 32(x + -2) Reorder the terms: 440 + -100x = 32(-2 + x) 440 + -100x = (-2 * 32 + x * 32) 440 + -100x = (-64 + 32x) Solving 440 + -100x = -64 + 32x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-32x' to each side of the equation. 440 + -100x + -32x = -64 + 32x + -32x Combine like terms: -100x + -32x = -132x 440 + -132x = -64 + 32x + -32x Combine like terms: 32x + -32x = 0 440 + -132x = -64 + 0 440 + -132x = -64 Add '-440' to each side of the equation. 440 + -440 + -132x = -64 + -440 Combine like terms: 440 + -440 = 0 0 + -132x = -64 + -440 -132x = -64 + -440 Combine like terms: -64 + -440 = -504 -132x = -504 Divide each side by '-132'. x = 3.818181818 Simplifying x = 3.818181818
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