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Simplifying 0.5(x + 700) + 0.1x = 44 Reorder the terms: 0.5(700 + x) + 0.1x = 44 (700 * 0.5 + x * 0.5) + 0.1x = 44 (350 + 0.5x) + 0.1x = 44 Combine like terms: 0.5x + 0.1x = 0.6x 350 + 0.6x = 44 Solving 350 + 0.6x = 44 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-350' to each side of the equation. 350 + -350 + 0.6x = 44 + -350 Combine like terms: 350 + -350 = 0 0 + 0.6x = 44 + -350 0.6x = 44 + -350 Combine like terms: 44 + -350 = -306 0.6x = -306 Divide each side by '0.6'. x = -510 Simplifying x = -510
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