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Simplifying 0.1x + 0.5(4500 + -1x) = 550 0.1x + (4500 * 0.5 + -1x * 0.5) = 550 0.1x + (2250 + -0.5x) = 550 Reorder the terms: 2250 + 0.1x + -0.5x = 550 Combine like terms: 0.1x + -0.5x = -0.4x 2250 + -0.4x = 550 Solving 2250 + -0.4x = 550 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2250' to each side of the equation. 2250 + -2250 + -0.4x = 550 + -2250 Combine like terms: 2250 + -2250 = 0 0 + -0.4x = 550 + -2250 -0.4x = 550 + -2250 Combine like terms: 550 + -2250 = -1700 -0.4x = -1700 Divide each side by '-0.4'. x = 4250 Simplifying x = 4250
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