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Simplifying 0.35x + 0.80(150 + -1x) = -0.35x 0.35x + (150 * 0.80 + -1x * 0.80) = -0.35x 0.35x + (120 + -0.8x) = -0.35x Reorder the terms: 120 + 0.35x + -0.8x = -0.35x Combine like terms: 0.35x + -0.8x = -0.45x 120 + -0.45x = -0.35x Solving 120 + -0.45x = -0.35x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.35x' to each side of the equation. 120 + -0.45x + 0.35x = -0.35x + 0.35x Combine like terms: -0.45x + 0.35x = -0.1x 120 + -0.1x = -0.35x + 0.35x Combine like terms: -0.35x + 0.35x = 0.00 120 + -0.1x = 0.00 Add '-120' to each side of the equation. 120 + -120 + -0.1x = 0.00 + -120 Combine like terms: 120 + -120 = 0 0 + -0.1x = 0.00 + -120 -0.1x = 0.00 + -120 Combine like terms: 0.00 + -120 = -120 -0.1x = -120 Divide each side by '-0.1'. x = 1200 Simplifying x = 1200
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