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Simplifying 5.5(x + -2) = 0.5x + 31 Reorder the terms: 5.5(-2 + x) = 0.5x + 31 (-2 * 5.5 + x * 5.5) = 0.5x + 31 (-11 + 5.5x) = 0.5x + 31 Reorder the terms: -11 + 5.5x = 31 + 0.5x Solving -11 + 5.5x = 31 + 0.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.5x' to each side of the equation. -11 + 5.5x + -0.5x = 31 + 0.5x + -0.5x Combine like terms: 5.5x + -0.5x = 5x -11 + 5x = 31 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 -11 + 5x = 31 + 0.0 -11 + 5x = 31 Add '11' to each side of the equation. -11 + 11 + 5x = 31 + 11 Combine like terms: -11 + 11 = 0 0 + 5x = 31 + 11 5x = 31 + 11 Combine like terms: 31 + 11 = 42 5x = 42 Divide each side by '5'. x = 8.4 Simplifying x = 8.4
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