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Simplifying 0.9(x + 30) + 0.9x = 108 Reorder the terms: 0.9(30 + x) + 0.9x = 108 (30 * 0.9 + x * 0.9) + 0.9x = 108 (27 + 0.9x) + 0.9x = 108 Combine like terms: 0.9x + 0.9x = 1.8x 27 + 1.8x = 108 Solving 27 + 1.8x = 108 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-27' to each side of the equation. 27 + -27 + 1.8x = 108 + -27 Combine like terms: 27 + -27 = 0 0 + 1.8x = 108 + -27 1.8x = 108 + -27 Combine like terms: 108 + -27 = 81 1.8x = 81 Divide each side by '1.8'. x = 45 Simplifying x = 45
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