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Simplifying 5.5x + -3.8(x + -1) = 7.5 Reorder the terms: 5.5x + -3.8(-1 + x) = 7.5 5.5x + (-1 * -3.8 + x * -3.8) = 7.5 5.5x + (3.8 + -3.8x) = 7.5 Reorder the terms: 3.8 + 5.5x + -3.8x = 7.5 Combine like terms: 5.5x + -3.8x = 1.7x 3.8 + 1.7x = 7.5 Solving 3.8 + 1.7x = 7.5 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3.8' to each side of the equation. 3.8 + -3.8 + 1.7x = 7.5 + -3.8 Combine like terms: 3.8 + -3.8 = 0.0 0.0 + 1.7x = 7.5 + -3.8 1.7x = 7.5 + -3.8 Combine like terms: 7.5 + -3.8 = 3.7 1.7x = 3.7 Divide each side by '1.7'. x = 2.176470588 Simplifying x = 2.176470588
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