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Simplifying 0.05x + 0.1(2X) + 0.25(100 + -3x) = 20 Remove parenthesis around (2X) 0.05x + 0.1 * 2X + 0.25(100 + -3x) = 20 Multiply 0.1 * 2 0.05x + 0.2X + 0.25(100 + -3x) = 20 0.05x + 0.2X + (100 * 0.25 + -3x * 0.25) = 20 0.05x + 0.2X + (25 + -0.75x) = 20 Reorder the terms: 25 + 0.2X + 0.05x + -0.75x = 20 Combine like terms: 0.05x + -0.75x = -0.7x 25 + 0.2X + -0.7x = 20 Solving 25 + 0.2X + -0.7x = 20 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + 0.2X + -25 + -0.7x = 20 + -25 Reorder the terms: 25 + -25 + 0.2X + -0.7x = 20 + -25 Combine like terms: 25 + -25 = 0 0 + 0.2X + -0.7x = 20 + -25 0.2X + -0.7x = 20 + -25 Combine like terms: 20 + -25 = -5 0.2X + -0.7x = -5 Add '0.7x' to each side of the equation. 0.2X + -0.7x + 0.7x = -5 + 0.7x Combine like terms: -0.7x + 0.7x = 0.0 0.2X + 0.0 = -5 + 0.7x 0.2X = -5 + 0.7x Divide each side by '0.2'. X = -25 + 3.5x Simplifying X = -25 + 3.5x
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