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Simplifying 0.50(x + 90) + 1.3x = 126 Reorder the terms: 0.50(90 + x) + 1.3x = 126 (90 * 0.50 + x * 0.50) + 1.3x = 126 (45 + 0.50x) + 1.3x = 126 Combine like terms: 0.50x + 1.3x = 1.8x 45 + 1.8x = 126 Solving 45 + 1.8x = 126 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-45' to each side of the equation. 45 + -45 + 1.8x = 126 + -45 Combine like terms: 45 + -45 = 0 0 + 1.8x = 126 + -45 1.8x = 126 + -45 Combine like terms: 126 + -45 = 81 1.8x = 81 Divide each side by '1.8'. x = 45 Simplifying x = 45
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