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Simplifying 0.15x + 0.05(20 + -1X) = 0.10(14) 0.15x + (20 * 0.05 + -1X * 0.05) = 0.10(14) 0.15x + (1 + -0.05X) = 0.10(14) Reorder the terms: 1 + -0.05X + 0.15x = 0.10(14) Multiply 0.10 * 14 1 + -0.05X + 0.15x = 1.4 Solving 1 + -0.05X + 0.15x = 1.4 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 + 0.15x = 1.4 + -1 Reorder the terms: 1 + -1 + -0.05X + 0.15x = 1.4 + -1 Combine like terms: 1 + -1 = 0 0 + -0.05X + 0.15x = 1.4 + -1 -0.05X + 0.15x = 1.4 + -1 Combine like terms: 1.4 + -1 = 0.4 -0.05X + 0.15x = 0.4 Add '-0.15x' to each side of the equation. -0.05X + 0.15x + -0.15x = 0.4 + -0.15x Combine like terms: 0.15x + -0.15x = 0.00 -0.05X + 0.00 = 0.4 + -0.15x -0.05X = 0.4 + -0.15x Divide each side by '-0.05'. X = -8 + 3x Simplifying X = -8 + 3x
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