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Simplifying 0.55x + 0.75(200 + -1x) = 128.8 0.55x + (200 * 0.75 + -1x * 0.75) = 128.8 0.55x + (150 + -0.75x) = 128.8 Reorder the terms: 150 + 0.55x + -0.75x = 128.8 Combine like terms: 0.55x + -0.75x = -0.2x 150 + -0.2x = 128.8 Solving 150 + -0.2x = 128.8 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-150' to each side of the equation. 150 + -150 + -0.2x = 128.8 + -150 Combine like terms: 150 + -150 = 0 0 + -0.2x = 128.8 + -150 -0.2x = 128.8 + -150 Combine like terms: 128.8 + -150 = -21.2 -0.2x = -21.2 Divide each side by '-0.2'. x = 106 Simplifying x = 106
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