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Simplifying 5.5(x + -3) = -0.5x + 19.5 Reorder the terms: 5.5(-3 + x) = -0.5x + 19.5 (-3 * 5.5 + x * 5.5) = -0.5x + 19.5 (-16.5 + 5.5x) = -0.5x + 19.5 Reorder the terms: -16.5 + 5.5x = 19.5 + -0.5x Solving -16.5 + 5.5x = 19.5 + -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. -16.5 + 5.5x + 0.5x = 19.5 + -0.5x + 0.5x Combine like terms: 5.5x + 0.5x = 6x -16.5 + 6x = 19.5 + -0.5x + 0.5x Combine like terms: -0.5x + 0.5x = 0.0 -16.5 + 6x = 19.5 + 0.0 -16.5 + 6x = 19.5 Add '16.5' to each side of the equation. -16.5 + 16.5 + 6x = 19.5 + 16.5 Combine like terms: -16.5 + 16.5 = 0.0 0.0 + 6x = 19.5 + 16.5 6x = 19.5 + 16.5 Combine like terms: 19.5 + 16.5 = 36 6x = 36 Divide each side by '6'. x = 6 Simplifying x = 6
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