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Simplifying 0.10x + 0.05(20 + -1X) = 0.10(12) 0.10x + (20 * 0.05 + -1X * 0.05) = 0.10(12) 0.10x + (1 + -0.05X) = 0.10(12) Reorder the terms: 1 + -0.05X + 0.10x = 0.10(12) Multiply 0.10 * 12 1 + -0.05X + 0.10x = 1.2 Solving 1 + -0.05X + 0.10x = 1.2 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -0.05X + -1 + 0.10x = 1.2 + -1 Reorder the terms: 1 + -1 + -0.05X + 0.10x = 1.2 + -1 Combine like terms: 1 + -1 = 0 0 + -0.05X + 0.10x = 1.2 + -1 -0.05X + 0.10x = 1.2 + -1 Combine like terms: 1.2 + -1 = 0.2 -0.05X + 0.10x = 0.2 Add '-0.10x' to each side of the equation. -0.05X + 0.10x + -0.10x = 0.2 + -0.10x Combine like terms: 0.10x + -0.10x = 0.00 -0.05X + 0.00 = 0.2 + -0.10x -0.05X = 0.2 + -0.10x Divide each side by '-0.05'. X = -4 + 2x Simplifying X = -4 + 2x
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