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Simplifying 0.7(x + 70) + 0.1x = 65 Reorder the terms: 0.7(70 + x) + 0.1x = 65 (70 * 0.7 + x * 0.7) + 0.1x = 65 (49 + 0.7x) + 0.1x = 65 Combine like terms: 0.7x + 0.1x = 0.8x 49 + 0.8x = 65 Solving 49 + 0.8x = 65 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 + 0.8x = 65 + -49 Combine like terms: 49 + -49 = 0 0 + 0.8x = 65 + -49 0.8x = 65 + -49 Combine like terms: 65 + -49 = 16 0.8x = 16 Divide each side by '0.8'. x = 20 Simplifying x = 20
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