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Simplifying 100 + 0.30x = 70 + 0.50x Solving 100 + 0.30x = 70 + 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. 100 + 0.30x + -0.50x = 70 + 0.50x + -0.50x Combine like terms: 0.30x + -0.50x = -0.2x 100 + -0.2x = 70 + 0.50x + -0.50x Combine like terms: 0.50x + -0.50x = 0.00 100 + -0.2x = 70 + 0.00 100 + -0.2x = 70 Add '-100' to each side of the equation. 100 + -100 + -0.2x = 70 + -100 Combine like terms: 100 + -100 = 0 0 + -0.2x = 70 + -100 -0.2x = 70 + -100 Combine like terms: 70 + -100 = -30 -0.2x = -30 Divide each side by '-0.2'. x = 150 Simplifying x = 150
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