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Simplifying 5.5x + -4.2(x + -1) = 6.5 Reorder the terms: 5.5x + -4.2(-1 + x) = 6.5 5.5x + (-1 * -4.2 + x * -4.2) = 6.5 5.5x + (4.2 + -4.2x) = 6.5 Reorder the terms: 4.2 + 5.5x + -4.2x = 6.5 Combine like terms: 5.5x + -4.2x = 1.3x 4.2 + 1.3x = 6.5 Solving 4.2 + 1.3x = 6.5 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4.2' to each side of the equation. 4.2 + -4.2 + 1.3x = 6.5 + -4.2 Combine like terms: 4.2 + -4.2 = 0.0 0.0 + 1.3x = 6.5 + -4.2 1.3x = 6.5 + -4.2 Combine like terms: 6.5 + -4.2 = 2.3 1.3x = 2.3 Divide each side by '1.3'. x = 1.769230769 Simplifying x = 1.769230769
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