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Simplifying 90 + 0.30x = 40 + 0.50x Solving 90 + 0.30x = 40 + 0.50x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.50x' to each side of the equation. 90 + 0.30x + -0.50x = 40 + 0.50x + -0.50x Combine like terms: 0.30x + -0.50x = -0.2x 90 + -0.2x = 40 + 0.50x + -0.50x Combine like terms: 0.50x + -0.50x = 0.00 90 + -0.2x = 40 + 0.00 90 + -0.2x = 40 Add '-90' to each side of the equation. 90 + -90 + -0.2x = 40 + -90 Combine like terms: 90 + -90 = 0 0 + -0.2x = 40 + -90 -0.2x = 40 + -90 Combine like terms: 40 + -90 = -50 -0.2x = -50 Divide each side by '-0.2'. x = 250 Simplifying x = 250
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