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Simplifying 0.4(10) + -0.4x + x = 0.5(10) Multiply 0.4 * 10 4 + -0.4x + x = 0.5(10) Combine like terms: -0.4x + x = 0.6x 4 + 0.6x = 0.5(10) Multiply 0.5 * 10 4 + 0.6x = 5 Solving 4 + 0.6x = 5 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 0.6x = 5 + -4 Combine like terms: 4 + -4 = 0 0 + 0.6x = 5 + -4 0.6x = 5 + -4 Combine like terms: 5 + -4 = 1 0.6x = 1 Divide each side by '0.6'. x = 1.666666667 Simplifying x = 1.666666667
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