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Simplifying 3.2x + -74 = -7.8x + 3.6 Reorder the terms: -74 + 3.2x = -7.8x + 3.6 Reorder the terms: -74 + 3.2x = 3.6 + -7.8x Solving -74 + 3.2x = 3.6 + -7.8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7.8x' to each side of the equation. -74 + 3.2x + 7.8x = 3.6 + -7.8x + 7.8x Combine like terms: 3.2x + 7.8x = 11x -74 + 11x = 3.6 + -7.8x + 7.8x Combine like terms: -7.8x + 7.8x = 0.0 -74 + 11x = 3.6 + 0.0 -74 + 11x = 3.6 Add '74' to each side of the equation. -74 + 74 + 11x = 3.6 + 74 Combine like terms: -74 + 74 = 0 0 + 11x = 3.6 + 74 11x = 3.6 + 74 Combine like terms: 3.6 + 74 = 77.6 11x = 77.6 Divide each side by '11'. x = 7.054545455 Simplifying x = 7.054545455
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