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Simplifying 0.35x + 0.05(6 + -1x) = 0.10(51) 0.35x + (6 * 0.05 + -1x * 0.05) = 0.10(51) 0.35x + (0.3 + -0.05x) = 0.10(51) Reorder the terms: 0.3 + 0.35x + -0.05x = 0.10(51) Combine like terms: 0.35x + -0.05x = 0.3x 0.3 + 0.3x = 0.10(51) Multiply 0.10 * 51 0.3 + 0.3x = 5.1 Solving 0.3 + 0.3x = 5.1 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.3' to each side of the equation. 0.3 + -0.3 + 0.3x = 5.1 + -0.3 Combine like terms: 0.3 + -0.3 = 0.0 0.0 + 0.3x = 5.1 + -0.3 0.3x = 5.1 + -0.3 Combine like terms: 5.1 + -0.3 = 4.8 0.3x = 4.8 Divide each side by '0.3'. x = 16 Simplifying x = 16
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