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Simplifying 0.5x + -0.1(6 + -1x) = 1.5 0.5x + (6 * -0.1 + -1x * -0.1) = 1.5 0.5x + (-0.6 + 0.1x) = 1.5 Reorder the terms: -0.6 + 0.5x + 0.1x = 1.5 Combine like terms: 0.5x + 0.1x = 0.6x -0.6 + 0.6x = 1.5 Solving -0.6 + 0.6x = 1.5 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.6' to each side of the equation. -0.6 + 0.6 + 0.6x = 1.5 + 0.6 Combine like terms: -0.6 + 0.6 = 0.0 0.0 + 0.6x = 1.5 + 0.6 0.6x = 1.5 + 0.6 Combine like terms: 1.5 + 0.6 = 2.1 0.6x = 2.1 Divide each side by '0.6'. x = 3.5 Simplifying x = 3.5
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