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Simplifying 0.5x + -0.1(5 + -1x) = 3.4 0.5x + (5 * -0.1 + -1x * -0.1) = 3.4 0.5x + (-0.5 + 0.1x) = 3.4 Reorder the terms: -0.5 + 0.5x + 0.1x = 3.4 Combine like terms: 0.5x + 0.1x = 0.6x -0.5 + 0.6x = 3.4 Solving -0.5 + 0.6x = 3.4 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.5' to each side of the equation. -0.5 + 0.5 + 0.6x = 3.4 + 0.5 Combine like terms: -0.5 + 0.5 = 0.0 0.0 + 0.6x = 3.4 + 0.5 0.6x = 3.4 + 0.5 Combine like terms: 3.4 + 0.5 = 3.9 0.6x = 3.9 Divide each side by '0.6'. x = 6.5 Simplifying x = 6.5
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