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Simplifying 0.5(x + 60) + 0.9x = 79 Reorder the terms: 0.5(60 + x) + 0.9x = 79 (60 * 0.5 + x * 0.5) + 0.9x = 79 (30 + 0.5x) + 0.9x = 79 Combine like terms: 0.5x + 0.9x = 1.4x 30 + 1.4x = 79 Solving 30 + 1.4x = 79 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + 1.4x = 79 + -30 Combine like terms: 30 + -30 = 0 0 + 1.4x = 79 + -30 1.4x = 79 + -30 Combine like terms: 79 + -30 = 49 1.4x = 49 Divide each side by '1.4'. x = 35 Simplifying x = 35
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