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Simplifying X + 0.40(2) = 0.90(X + 5) Multiply 0.40 * 2 X + 0.8 = 0.90(X + 5) Reorder the terms: 0.8 + X = 0.90(X + 5) Reorder the terms: 0.8 + X = 0.90(5 + X) 0.8 + X = (5 * 0.90 + X * 0.90) 0.8 + X = (4.5 + 0.90X) Solving 0.8 + X = 4.5 + 0.90X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-0.90X' to each side of the equation. 0.8 + X + -0.90X = 4.5 + 0.90X + -0.90X Combine like terms: X + -0.90X = 0.1X 0.8 + 0.1X = 4.5 + 0.90X + -0.90X Combine like terms: 0.90X + -0.90X = 0.00 0.8 + 0.1X = 4.5 + 0.00 0.8 + 0.1X = 4.5 Add '-0.8' to each side of the equation. 0.8 + -0.8 + 0.1X = 4.5 + -0.8 Combine like terms: 0.8 + -0.8 = 0.0 0.0 + 0.1X = 4.5 + -0.8 0.1X = 4.5 + -0.8 Combine like terms: 4.5 + -0.8 = 3.7 0.1X = 3.7 Divide each side by '0.1'. X = 37 Simplifying X = 37
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