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Simplifying 0.05x + 0.1(x + -500) = 0.08x Reorder the terms: 0.05x + 0.1(-500 + x) = 0.08x 0.05x + (-500 * 0.1 + x * 0.1) = 0.08x 0.05x + (-50 + 0.1x) = 0.08x Reorder the terms: -50 + 0.05x + 0.1x = 0.08x Combine like terms: 0.05x + 0.1x = 0.15x -50 + 0.15x = 0.08x Solving -50 + 0.15x = 0.08x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.08x' to each side of the equation. -50 + 0.15x + -0.08x = 0.08x + -0.08x Combine like terms: 0.15x + -0.08x = 0.07x -50 + 0.07x = 0.08x + -0.08x Combine like terms: 0.08x + -0.08x = 0.00 -50 + 0.07x = 0.00 Add '50' to each side of the equation. -50 + 50 + 0.07x = 0.00 + 50 Combine like terms: -50 + 50 = 0 0 + 0.07x = 0.00 + 50 0.07x = 0.00 + 50 Combine like terms: 0.00 + 50 = 50 0.07x = 50 Divide each side by '0.07'. x = 714.2857143 Simplifying x = 714.2857143
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