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Simplifying 0.7(x + 30) + 0.5x = 57 Reorder the terms: 0.7(30 + x) + 0.5x = 57 (30 * 0.7 + x * 0.7) + 0.5x = 57 (21 + 0.7x) + 0.5x = 57 Combine like terms: 0.7x + 0.5x = 1.2x 21 + 1.2x = 57 Solving 21 + 1.2x = 57 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-21' to each side of the equation. 21 + -21 + 1.2x = 57 + -21 Combine like terms: 21 + -21 = 0 0 + 1.2x = 57 + -21 1.2x = 57 + -21 Combine like terms: 57 + -21 = 36 1.2x = 36 Divide each side by '1.2'. x = 30 Simplifying x = 30
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