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Simplifying 0.7(x + 70) + 0.3x = 74 Reorder the terms: 0.7(70 + x) + 0.3x = 74 (70 * 0.7 + x * 0.7) + 0.3x = 74 (49 + 0.7x) + 0.3x = 74 Combine like terms: 0.7x + 0.3x = 1x 49 + 1x = 74 Solving 49 + 1x = 74 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 + 1x = 74 + -49 Combine like terms: 49 + -49 = 0 0 + 1x = 74 + -49 1x = 74 + -49 Combine like terms: 74 + -49 = 25 1x = 25 Divide each side by '1'. x = 25 Simplifying x = 25
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