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Simplifying 0.7x + 0.6(12 + -1x) = 47 0.7x + (12 * 0.6 + -1x * 0.6) = 47 0.7x + (7.2 + -0.6x) = 47 Reorder the terms: 7.2 + 0.7x + -0.6x = 47 Combine like terms: 0.7x + -0.6x = 0.1x 7.2 + 0.1x = 47 Solving 7.2 + 0.1x = 47 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7.2' to each side of the equation. 7.2 + -7.2 + 0.1x = 47 + -7.2 Combine like terms: 7.2 + -7.2 = 0.0 0.0 + 0.1x = 47 + -7.2 0.1x = 47 + -7.2 Combine like terms: 47 + -7.2 = 39.8 0.1x = 39.8 Divide each side by '0.1'. x = 398 Simplifying x = 398
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