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Simplifying 5.5(2 + -1x) + -3(4 + -2x) = 20 (2 * 5.5 + -1x * 5.5) + -3(4 + -2x) = 20 (11 + -5.5x) + -3(4 + -2x) = 20 11 + -5.5x + (4 * -3 + -2x * -3) = 20 11 + -5.5x + (-12 + 6x) = 20 Reorder the terms: 11 + -12 + -5.5x + 6x = 20 Combine like terms: 11 + -12 = -1 -1 + -5.5x + 6x = 20 Combine like terms: -5.5x + 6x = 0.5x -1 + 0.5x = 20 Solving -1 + 0.5x = 20 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 + 0.5x = 20 + 1 Combine like terms: -1 + 1 = 0 0 + 0.5x = 20 + 1 0.5x = 20 + 1 Combine like terms: 20 + 1 = 21 0.5x = 21 Divide each side by '0.5'. x = 42 Simplifying x = 42
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