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Simplifying 0.7(x + 300) = 0.75x + -180 Reorder the terms: 0.7(300 + x) = 0.75x + -180 (300 * 0.7 + x * 0.7) = 0.75x + -180 (210 + 0.7x) = 0.75x + -180 Reorder the terms: 210 + 0.7x = -180 + 0.75x Solving 210 + 0.7x = -180 + 0.75x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.75x' to each side of the equation. 210 + 0.7x + -0.75x = -180 + 0.75x + -0.75x Combine like terms: 0.7x + -0.75x = -0.05x 210 + -0.05x = -180 + 0.75x + -0.75x Combine like terms: 0.75x + -0.75x = 0.00 210 + -0.05x = -180 + 0.00 210 + -0.05x = -180 Add '-210' to each side of the equation. 210 + -210 + -0.05x = -180 + -210 Combine like terms: 210 + -210 = 0 0 + -0.05x = -180 + -210 -0.05x = -180 + -210 Combine like terms: -180 + -210 = -390 -0.05x = -390 Divide each side by '-0.05'. x = 7800 Simplifying x = 7800
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