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Simplifying 0.75(x + 5) + 0.35x = 7.05 Reorder the terms: 0.75(5 + x) + 0.35x = 7.05 (5 * 0.75 + x * 0.75) + 0.35x = 7.05 (3.75 + 0.75x) + 0.35x = 7.05 Combine like terms: 0.75x + 0.35x = 1.1x 3.75 + 1.1x = 7.05 Solving 3.75 + 1.1x = 7.05 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3.75' to each side of the equation. 3.75 + -3.75 + 1.1x = 7.05 + -3.75 Combine like terms: 3.75 + -3.75 = 0.00 0.00 + 1.1x = 7.05 + -3.75 1.1x = 7.05 + -3.75 Combine like terms: 7.05 + -3.75 = 3.3 1.1x = 3.3 Divide each side by '1.1'. x = 3 Simplifying x = 3
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