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Simplifying 100 + (0.8) * x = 40 + (0.9) * x Solving 100 + 0.8x = 40 + 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. 100 + 0.8x + -0.9x = 40 + 0.9x + -0.9x Combine like terms: 0.8x + -0.9x = -0.1x 100 + -0.1x = 40 + 0.9x + -0.9x Combine like terms: 0.9x + -0.9x = 0.0 100 + -0.1x = 40 + 0.0 100 + -0.1x = 40 Add '-100' to each side of the equation. 100 + -100 + -0.1x = 40 + -100 Combine like terms: 100 + -100 = 0 0 + -0.1x = 40 + -100 -0.1x = 40 + -100 Combine like terms: 40 + -100 = -60 -0.1x = -60 Divide each side by '-0.1'. x = 600 Simplifying x = 600
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