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Simplifying x = 42 + 0.2x + 0.25x + 2(0.2x) Remove parenthesis around (0.2x) x = 42 + 0.2x + 0.25x + 2 * 0.2x Multiply 2 * 0.2 x = 42 + 0.2x + 0.25x + 0.4x Combine like terms: 0.2x + 0.25x = 0.45x x = 42 + 0.45x + 0.4x Combine like terms: 0.45x + 0.4x = 0.85x x = 42 + 0.85x Solving x = 42 + 0.85x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.85x' to each side of the equation. x + -0.85x = 42 + 0.85x + -0.85x Combine like terms: x + -0.85x = 0.15x 0.15x = 42 + 0.85x + -0.85x Combine like terms: 0.85x + -0.85x = 0.00 0.15x = 42 + 0.00 0.15x = 42 Divide each side by '0.15'. x = 280 Simplifying x = 280
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