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Simplifying 0.5(x + 100) + 0.9x = 99 Reorder the terms: 0.5(100 + x) + 0.9x = 99 (100 * 0.5 + x * 0.5) + 0.9x = 99 (50 + 0.5x) + 0.9x = 99 Combine like terms: 0.5x + 0.9x = 1.4x 50 + 1.4x = 99 Solving 50 + 1.4x = 99 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-50' to each side of the equation. 50 + -50 + 1.4x = 99 + -50 Combine like terms: 50 + -50 = 0 0 + 1.4x = 99 + -50 1.4x = 99 + -50 Combine like terms: 99 + -50 = 49 1.4x = 49 Divide each side by '1.4'. x = 35 Simplifying x = 35
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