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Simplifying 3.2x + -7.4 = -7.8x + 36 Reorder the terms: -7.4 + 3.2x = -7.8x + 36 Reorder the terms: -7.4 + 3.2x = 36 + -7.8x Solving -7.4 + 3.2x = 36 + -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. -7.4 + 3.2x + 7.8x = 36 + -7.8x + 7.8x Combine like terms: 3.2x + 7.8x = 11x -7.4 + 11x = 36 + -7.8x + 7.8x Combine like terms: -7.8x + 7.8x = 0.0 -7.4 + 11x = 36 + 0.0 -7.4 + 11x = 36 Add '7.4' to each side of the equation. -7.4 + 7.4 + 11x = 36 + 7.4 Combine like terms: -7.4 + 7.4 = 0.0 0.0 + 11x = 36 + 7.4 11x = 36 + 7.4 Combine like terms: 36 + 7.4 = 43.4 11x = 43.4 Divide each side by '11'. x = 3.945454545 Simplifying x = 3.945454545
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