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Simplifying 0.4x + -0.2(3 + -1x) = 7.6 0.4x + (3 * -0.2 + -1x * -0.2) = 7.6 0.4x + (-0.6 + 0.2x) = 7.6 Reorder the terms: -0.6 + 0.4x + 0.2x = 7.6 Combine like terms: 0.4x + 0.2x = 0.6x -0.6 + 0.6x = 7.6 Solving -0.6 + 0.6x = 7.6 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 = 7.6 + 0.6 Combine like terms: -0.6 + 0.6 = 0.0 0.0 + 0.6x = 7.6 + 0.6 0.6x = 7.6 + 0.6 Combine like terms: 7.6 + 0.6 = 8.2 0.6x = 8.2 Divide each side by '0.6'. x = 13.66666667 Simplifying x = 13.66666667
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