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Simplifying 0.35x + 0.05(2 + -1x) = 0.10(19) 0.35x + (2 * 0.05 + -1x * 0.05) = 0.10(19) 0.35x + (0.1 + -0.05x) = 0.10(19) Reorder the terms: 0.1 + 0.35x + -0.05x = 0.10(19) Combine like terms: 0.35x + -0.05x = 0.3x 0.1 + 0.3x = 0.10(19) Multiply 0.10 * 19 0.1 + 0.3x = 1.9 Solving 0.1 + 0.3x = 1.9 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.1' to each side of the equation. 0.1 + -0.1 + 0.3x = 1.9 + -0.1 Combine like terms: 0.1 + -0.1 = 0.0 0.0 + 0.3x = 1.9 + -0.1 0.3x = 1.9 + -0.1 Combine like terms: 1.9 + -0.1 = 1.8 0.3x = 1.8 Divide each side by '0.3'. x = 6 Simplifying x = 6
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