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Simplifying 500 = x + -0.1x Combine like terms: x + -0.1x = 0.9x 500 = 0.9x Solving 500 = 0.9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.9x' to each side of the equation. 500 + -0.9x = 0.9x + -0.9x Combine like terms: 0.9x + -0.9x = 0.0 500 + -0.9x = 0.0 Add '-500' to each side of the equation. 500 + -500 + -0.9x = 0.0 + -500 Combine like terms: 500 + -500 = 0 0 + -0.9x = 0.0 + -500 -0.9x = 0.0 + -500 Combine like terms: 0.0 + -500 = -500 -0.9x = -500 Divide each side by '-0.9'. x = 555.5555556 Simplifying x = 555.5555556
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