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Simplifying 5.5(x + -4) = -0.5x + 14 Reorder the terms: 5.5(-4 + x) = -0.5x + 14 (-4 * 5.5 + x * 5.5) = -0.5x + 14 (-22 + 5.5x) = -0.5x + 14 Reorder the terms: -22 + 5.5x = 14 + -0.5x Solving -22 + 5.5x = 14 + -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. -22 + 5.5x + 0.5x = 14 + -0.5x + 0.5x Combine like terms: 5.5x + 0.5x = 6x -22 + 6x = 14 + -0.5x + 0.5x Combine like terms: -0.5x + 0.5x = 0.0 -22 + 6x = 14 + 0.0 -22 + 6x = 14 Add '22' to each side of the equation. -22 + 22 + 6x = 14 + 22 Combine like terms: -22 + 22 = 0 0 + 6x = 14 + 22 6x = 14 + 22 Combine like terms: 14 + 22 = 36 6x = 36 Divide each side by '6'. x = 6 Simplifying x = 6
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