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Simplifying 0.9(x + 20) + 0.9x = 99 Reorder the terms: 0.9(20 + x) + 0.9x = 99 (20 * 0.9 + x * 0.9) + 0.9x = 99 (18 + 0.9x) + 0.9x = 99 Combine like terms: 0.9x + 0.9x = 1.8x 18 + 1.8x = 99 Solving 18 + 1.8x = 99 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + 1.8x = 99 + -18 Combine like terms: 18 + -18 = 0 0 + 1.8x = 99 + -18 1.8x = 99 + -18 Combine like terms: 99 + -18 = 81 1.8x = 81 Divide each side by '1.8'. x = 45 Simplifying x = 45
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