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Simplifying 0.9(x + 90) + 0.3x = 117 Reorder the terms: 0.9(90 + x) + 0.3x = 117 (90 * 0.9 + x * 0.9) + 0.3x = 117 (81 + 0.9x) + 0.3x = 117 Combine like terms: 0.9x + 0.3x = 1.2x 81 + 1.2x = 117 Solving 81 + 1.2x = 117 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-81' to each side of the equation. 81 + -81 + 1.2x = 117 + -81 Combine like terms: 81 + -81 = 0 0 + 1.2x = 117 + -81 1.2x = 117 + -81 Combine like terms: 117 + -81 = 36 1.2x = 36 Divide each side by '1.2'. x = 30 Simplifying x = 30
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