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Simplifying 0.9(x + 90) + 0.7x = 145 Reorder the terms: 0.9(90 + x) + 0.7x = 145 (90 * 0.9 + x * 0.9) + 0.7x = 145 (81 + 0.9x) + 0.7x = 145 Combine like terms: 0.9x + 0.7x = 1.6x 81 + 1.6x = 145 Solving 81 + 1.6x = 145 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 + 1.6x = 145 + -81 Combine like terms: 81 + -81 = 0 0 + 1.6x = 145 + -81 1.6x = 145 + -81 Combine like terms: 145 + -81 = 64 1.6x = 64 Divide each side by '1.6'. x = 40 Simplifying x = 40
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