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Simplifying 6x + -0.5(7 + -3x) = 5.5 6x + (7 * -0.5 + -3x * -0.5) = 5.5 6x + (-3.5 + 1.5x) = 5.5 Reorder the terms: -3.5 + 6x + 1.5x = 5.5 Combine like terms: 6x + 1.5x = 7.5x -3.5 + 7.5x = 5.5 Solving -3.5 + 7.5x = 5.5 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3.5' to each side of the equation. -3.5 + 3.5 + 7.5x = 5.5 + 3.5 Combine like terms: -3.5 + 3.5 = 0.0 0.0 + 7.5x = 5.5 + 3.5 7.5x = 5.5 + 3.5 Combine like terms: 5.5 + 3.5 = 9 7.5x = 9 Divide each side by '7.5'. x = 1.2 Simplifying x = 1.2
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