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Simplifying 500 = ((x + -1(0.21x)) * 0.25) + -0.1 Remove parenthesis around (0.21x) 500 = ((x + -1 * 0.21x) * 0.25) + -0.1 Multiply -1 * 0.21 500 = ((x + -0.21x) * 0.25) + -0.1 Combine like terms: x + -0.21x = 0.79x 500 = ((0.79x) * 0.25) + -0.1 Remove parenthesis around (0.79x) 500 = (0.79x * 0.25) + -0.1 Reorder the terms for easier multiplication: 500 = (0.79 * 0.25x) + -0.1 Multiply 0.79 * 0.25 500 = (0.1975x) + -0.1 Reorder the terms: 500 = -0.1 + (0.1975x) Solving 500 = -0.1 + (0.1975x) Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '(-0.1975x)' to each side of the equation. 500 + (-0.1975x) = -0.1 + (0.1975x) + (-0.1975x) Combine like terms: (0.1975x) + (-0.1975x) = 0.0000 500 + (-0.1975x) = -0.1 + 0.0000 500 + (-0.1975x) = -0.1 Add '-500' to each side of the equation. 500 + -500 + (-0.1975x) = -0.1 + -500 Combine like terms: 500 + -500 = 0 0 + (-0.1975x) = -0.1 + -500 (-0.1975x) = -0.1 + -500 Combine like terms: -0.1 + -500 = -500.1 (-0.1975x) = -500.1 Divide each side by '-0.1975'. x = 2532.151899 Simplifying x = 2532.151899
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