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Simplifying 0.7(x + 0.9) = 42 Reorder the terms: 0.7(0.9 + x) = 42 (0.9 * 0.7 + x * 0.7) = 42 (0.63 + 0.7x) = 42 Solving 0.63 + 0.7x = 42 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.63' to each side of the equation. 0.63 + -0.63 + 0.7x = 42 + -0.63 Combine like terms: 0.63 + -0.63 = 0.00 0.00 + 0.7x = 42 + -0.63 0.7x = 42 + -0.63 Combine like terms: 42 + -0.63 = 41.37 0.7x = 41.37 Divide each side by '0.7'. x = 59.1 Simplifying x = 59.1
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