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Simplifying 0.6(x + 200) = 0.65x + -270 Reorder the terms: 0.6(200 + x) = 0.65x + -270 (200 * 0.6 + x * 0.6) = 0.65x + -270 (120 + 0.6x) = 0.65x + -270 Reorder the terms: 120 + 0.6x = -270 + 0.65x Solving 120 + 0.6x = -270 + 0.65x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.65x' to each side of the equation. 120 + 0.6x + -0.65x = -270 + 0.65x + -0.65x Combine like terms: 0.6x + -0.65x = -0.05x 120 + -0.05x = -270 + 0.65x + -0.65x Combine like terms: 0.65x + -0.65x = 0.00 120 + -0.05x = -270 + 0.00 120 + -0.05x = -270 Add '-120' to each side of the equation. 120 + -120 + -0.05x = -270 + -120 Combine like terms: 120 + -120 = 0 0 + -0.05x = -270 + -120 -0.05x = -270 + -120 Combine like terms: -270 + -120 = -390 -0.05x = -390 Divide each side by '-0.05'. x = 7800 Simplifying x = 7800
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