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Simplifying 0.7(x + 60) + 0.5x = 78 Reorder the terms: 0.7(60 + x) + 0.5x = 78 (60 * 0.7 + x * 0.7) + 0.5x = 78 (42 + 0.7x) + 0.5x = 78 Combine like terms: 0.7x + 0.5x = 1.2x 42 + 1.2x = 78 Solving 42 + 1.2x = 78 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-42' to each side of the equation. 42 + -42 + 1.2x = 78 + -42 Combine like terms: 42 + -42 = 0 0 + 1.2x = 78 + -42 1.2x = 78 + -42 Combine like terms: 78 + -42 = 36 1.2x = 36 Divide each side by '1.2'. x = 30 Simplifying x = 30
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