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Simplifying 0.55x + 0.80(110 + -1x) = -0.05x 0.55x + (110 * 0.80 + -1x * 0.80) = -0.05x 0.55x + (88 + -0.8x) = -0.05x Reorder the terms: 88 + 0.55x + -0.8x = -0.05x Combine like terms: 0.55x + -0.8x = -0.25x 88 + -0.25x = -0.05x Solving 88 + -0.25x = -0.05x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.05x' to each side of the equation. 88 + -0.25x + 0.05x = -0.05x + 0.05x Combine like terms: -0.25x + 0.05x = -0.2x 88 + -0.2x = -0.05x + 0.05x Combine like terms: -0.05x + 0.05x = 0.00 88 + -0.2x = 0.00 Add '-88' to each side of the equation. 88 + -88 + -0.2x = 0.00 + -88 Combine like terms: 88 + -88 = 0 0 + -0.2x = 0.00 + -88 -0.2x = 0.00 + -88 Combine like terms: 0.00 + -88 = -88 -0.2x = -88 Divide each side by '-0.2'. x = 440 Simplifying x = 440
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