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Simplifying 0.6(x + 200) = 0.66x + -312 Reorder the terms: 0.6(200 + x) = 0.66x + -312 (200 * 0.6 + x * 0.6) = 0.66x + -312 (120 + 0.6x) = 0.66x + -312 Reorder the terms: 120 + 0.6x = -312 + 0.66x Solving 120 + 0.6x = -312 + 0.66x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.66x' to each side of the equation. 120 + 0.6x + -0.66x = -312 + 0.66x + -0.66x Combine like terms: 0.6x + -0.66x = -0.06x 120 + -0.06x = -312 + 0.66x + -0.66x Combine like terms: 0.66x + -0.66x = 0.00 120 + -0.06x = -312 + 0.00 120 + -0.06x = -312 Add '-120' to each side of the equation. 120 + -120 + -0.06x = -312 + -120 Combine like terms: 120 + -120 = 0 0 + -0.06x = -312 + -120 -0.06x = -312 + -120 Combine like terms: -312 + -120 = -432 -0.06x = -432 Divide each side by '-0.06'. x = 7200 Simplifying x = 7200
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