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Simplifying 0.7(x + 70) + 0.5x = 85 Reorder the terms: 0.7(70 + x) + 0.5x = 85 (70 * 0.7 + x * 0.7) + 0.5x = 85 (49 + 0.7x) + 0.5x = 85 Combine like terms: 0.7x + 0.5x = 1.2x 49 + 1.2x = 85 Solving 49 + 1.2x = 85 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-49' to each side of the equation. 49 + -49 + 1.2x = 85 + -49 Combine like terms: 49 + -49 = 0 0 + 1.2x = 85 + -49 1.2x = 85 + -49 Combine like terms: 85 + -49 = 36 1.2x = 36 Divide each side by '1.2'. x = 30 Simplifying x = 30
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