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Simplifying 0.9(x + 50) + 0.5x = 94 Reorder the terms: 0.9(50 + x) + 0.5x = 94 (50 * 0.9 + x * 0.9) + 0.5x = 94 (45 + 0.9x) + 0.5x = 94 Combine like terms: 0.9x + 0.5x = 1.4x 45 + 1.4x = 94 Solving 45 + 1.4x = 94 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-45' to each side of the equation. 45 + -45 + 1.4x = 94 + -45 Combine like terms: 45 + -45 = 0 0 + 1.4x = 94 + -45 1.4x = 94 + -45 Combine like terms: 94 + -45 = 49 1.4x = 49 Divide each side by '1.4'. x = 35 Simplifying x = 35
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