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Simplifying 0.6(x + 200) = 0.64x + -180 Reorder the terms: 0.6(200 + x) = 0.64x + -180 (200 * 0.6 + x * 0.6) = 0.64x + -180 (120 + 0.6x) = 0.64x + -180 Reorder the terms: 120 + 0.6x = -180 + 0.64x Solving 120 + 0.6x = -180 + 0.64x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.64x' to each side of the equation. 120 + 0.6x + -0.64x = -180 + 0.64x + -0.64x Combine like terms: 0.6x + -0.64x = -0.04x 120 + -0.04x = -180 + 0.64x + -0.64x Combine like terms: 0.64x + -0.64x = 0.00 120 + -0.04x = -180 + 0.00 120 + -0.04x = -180 Add '-120' to each side of the equation. 120 + -120 + -0.04x = -180 + -120 Combine like terms: 120 + -120 = 0 0 + -0.04x = -180 + -120 -0.04x = -180 + -120 Combine like terms: -180 + -120 = -300 -0.04x = -300 Divide each side by '-0.04'. x = 7500 Simplifying x = 7500
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