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Simplifying 0.70x + 250 = 1.50x + 150 Reorder the terms: 250 + 0.70x = 1.50x + 150 Reorder the terms: 250 + 0.70x = 150 + 1.50x Solving 250 + 0.70x = 150 + 1.50x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.50x' to each side of the equation. 250 + 0.70x + -1.50x = 150 + 1.50x + -1.50x Combine like terms: 0.70x + -1.50x = -0.8x 250 + -0.8x = 150 + 1.50x + -1.50x Combine like terms: 1.50x + -1.50x = 0.00 250 + -0.8x = 150 + 0.00 250 + -0.8x = 150 Add '-250' to each side of the equation. 250 + -250 + -0.8x = 150 + -250 Combine like terms: 250 + -250 = 0 0 + -0.8x = 150 + -250 -0.8x = 150 + -250 Combine like terms: 150 + -250 = -100 -0.8x = -100 Divide each side by '-0.8'. x = 125 Simplifying x = 125
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