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Simplifying 0.4(8 + -1x) + x = 0.6(8) (8 * 0.4 + -1x * 0.4) + x = 0.6(8) (3.2 + -0.4x) + x = 0.6(8) Combine like terms: -0.4x + x = 0.6x 3.2 + 0.6x = 0.6(8) Multiply 0.6 * 8 3.2 + 0.6x = 4.8 Solving 3.2 + 0.6x = 4.8 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3.2' to each side of the equation. 3.2 + -3.2 + 0.6x = 4.8 + -3.2 Combine like terms: 3.2 + -3.2 = 0.0 0.0 + 0.6x = 4.8 + -3.2 0.6x = 4.8 + -3.2 Combine like terms: 4.8 + -3.2 = 1.6 0.6x = 1.6 Divide each side by '0.6'. x = 2.666666667 Simplifying x = 2.666666667
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