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Simplifying 90 + 0.20x = 30 + 0.30x Solving 90 + 0.20x = 30 + 0.30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.30x' to each side of the equation. 90 + 0.20x + -0.30x = 30 + 0.30x + -0.30x Combine like terms: 0.20x + -0.30x = -0.1x 90 + -0.1x = 30 + 0.30x + -0.30x Combine like terms: 0.30x + -0.30x = 0.00 90 + -0.1x = 30 + 0.00 90 + -0.1x = 30 Add '-90' to each side of the equation. 90 + -90 + -0.1x = 30 + -90 Combine like terms: 90 + -90 = 0 0 + -0.1x = 30 + -90 -0.1x = 30 + -90 Combine like terms: 30 + -90 = -60 -0.1x = -60 Divide each side by '-0.1'. x = 600 Simplifying x = 600
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