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Simplifying 0.9(x + 30) + 0.5x = 76 Reorder the terms: 0.9(30 + x) + 0.5x = 76 (30 * 0.9 + x * 0.9) + 0.5x = 76 (27 + 0.9x) + 0.5x = 76 Combine like terms: 0.9x + 0.5x = 1.4x 27 + 1.4x = 76 Solving 27 + 1.4x = 76 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 + 1.4x = 76 + -27 Combine like terms: 27 + -27 = 0 0 + 1.4x = 76 + -27 1.4x = 76 + -27 Combine like terms: 76 + -27 = 49 1.4x = 49 Divide each side by '1.4'. x = 35 Simplifying x = 35
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