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Simplifying 0.5(x + 80) + 0.7x = 76 Reorder the terms: 0.5(80 + x) + 0.7x = 76 (80 * 0.5 + x * 0.5) + 0.7x = 76 (40 + 0.5x) + 0.7x = 76 Combine like terms: 0.5x + 0.7x = 1.2x 40 + 1.2x = 76 Solving 40 + 1.2x = 76 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-40' to each side of the equation. 40 + -40 + 1.2x = 76 + -40 Combine like terms: 40 + -40 = 0 0 + 1.2x = 76 + -40 1.2x = 76 + -40 Combine like terms: 76 + -40 = 36 1.2x = 36 Divide each side by '1.2'. x = 30 Simplifying x = 30
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