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Simplifying 5.5(x + -2) = 3 + -1.5x Reorder the terms: 5.5(-2 + x) = 3 + -1.5x (-2 * 5.5 + x * 5.5) = 3 + -1.5x (-11 + 5.5x) = 3 + -1.5x Solving -11 + 5.5x = 3 + -1.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1.5x' to each side of the equation. -11 + 5.5x + 1.5x = 3 + -1.5x + 1.5x Combine like terms: 5.5x + 1.5x = 7x -11 + 7x = 3 + -1.5x + 1.5x Combine like terms: -1.5x + 1.5x = 0.0 -11 + 7x = 3 + 0.0 -11 + 7x = 3 Add '11' to each side of the equation. -11 + 11 + 7x = 3 + 11 Combine like terms: -11 + 11 = 0 0 + 7x = 3 + 11 7x = 3 + 11 Combine like terms: 3 + 11 = 14 7x = 14 Divide each side by '7'. x = 2 Simplifying x = 2
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