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Simplifying 4(5 + -2x) + -1(x + -2) = 0 (5 * 4 + -2x * 4) + -1(x + -2) = 0 (20 + -8x) + -1(x + -2) = 0 Reorder the terms: 20 + -8x + -1(-2 + x) = 0 20 + -8x + (-2 * -1 + x * -1) = 0 20 + -8x + (2 + -1x) = 0 Reorder the terms: 20 + 2 + -8x + -1x = 0 Combine like terms: 20 + 2 = 22 22 + -8x + -1x = 0 Combine like terms: -8x + -1x = -9x 22 + -9x = 0 Solving 22 + -9x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-22' to each side of the equation. 22 + -22 + -9x = 0 + -22 Combine like terms: 22 + -22 = 0 0 + -9x = 0 + -22 -9x = 0 + -22 Combine like terms: 0 + -22 = -22 -9x = -22 Divide each side by '-9'. x = 2.444444444 Simplifying x = 2.444444444
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