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Simplifying 0.1x + 0.4x + 9 = 7 Reorder the terms: 9 + 0.1x + 0.4x = 7 Combine like terms: 0.1x + 0.4x = 0.5x 9 + 0.5x = 7 Solving 9 + 0.5x = 7 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 0.5x = 7 + -9 Combine like terms: 9 + -9 = 0 0 + 0.5x = 7 + -9 0.5x = 7 + -9 Combine like terms: 7 + -9 = -2 0.5x = -2 Divide each side by '0.5'. x = -4 Simplifying x = -4
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