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Simplifying 0.7(x + 50) + 0.9x = 99 Reorder the terms: 0.7(50 + x) + 0.9x = 99 (50 * 0.7 + x * 0.7) + 0.9x = 99 (35 + 0.7x) + 0.9x = 99 Combine like terms: 0.7x + 0.9x = 1.6x 35 + 1.6x = 99 Solving 35 + 1.6x = 99 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-35' to each side of the equation. 35 + -35 + 1.6x = 99 + -35 Combine like terms: 35 + -35 = 0 0 + 1.6x = 99 + -35 1.6x = 99 + -35 Combine like terms: 99 + -35 = 64 1.6x = 64 Divide each side by '1.6'. x = 40 Simplifying x = 40
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