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Simplifying 0.4x + 0.2(x + 7) = 0.9 + 0.6 Reorder the terms: 0.4x + 0.2(7 + x) = 0.9 + 0.6 0.4x + (7 * 0.2 + x * 0.2) = 0.9 + 0.6 0.4x + (1.4 + 0.2x) = 0.9 + 0.6 Reorder the terms: 1.4 + 0.4x + 0.2x = 0.9 + 0.6 Combine like terms: 0.4x + 0.2x = 0.6x 1.4 + 0.6x = 0.9 + 0.6 Combine like terms: 0.9 + 0.6 = 1.5 1.4 + 0.6x = 1.5 Solving 1.4 + 0.6x = 1.5 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.4' to each side of the equation. 1.4 + -1.4 + 0.6x = 1.5 + -1.4 Combine like terms: 1.4 + -1.4 = 0.0 0.0 + 0.6x = 1.5 + -1.4 0.6x = 1.5 + -1.4 Combine like terms: 1.5 + -1.4 = 0.1 0.6x = 0.1 Divide each side by '0.6'. x = 0.1666666667 Simplifying x = 0.1666666667
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