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Simplifying 0.15x + 0.05(18 + -1x) = 0.10(21) 0.15x + (18 * 0.05 + -1x * 0.05) = 0.10(21) 0.15x + (0.9 + -0.05x) = 0.10(21) Reorder the terms: 0.9 + 0.15x + -0.05x = 0.10(21) Combine like terms: 0.15x + -0.05x = 0.1x 0.9 + 0.1x = 0.10(21) Multiply 0.10 * 21 0.9 + 0.1x = 2.1 Solving 0.9 + 0.1x = 2.1 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.9' to each side of the equation. 0.9 + -0.9 + 0.1x = 2.1 + -0.9 Combine like terms: 0.9 + -0.9 = 0.0 0.0 + 0.1x = 2.1 + -0.9 0.1x = 2.1 + -0.9 Combine like terms: 2.1 + -0.9 = 1.2 0.1x = 1.2 Divide each side by '0.1'. x = 12 Simplifying x = 12
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