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Simplifying 3.2x + 4 = 9.7x + -9 Reorder the terms: 4 + 3.2x = 9.7x + -9 Reorder the terms: 4 + 3.2x = -9 + 9.7x Solving 4 + 3.2x = -9 + 9.7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9.7x' to each side of the equation. 4 + 3.2x + -9.7x = -9 + 9.7x + -9.7x Combine like terms: 3.2x + -9.7x = -6.5x 4 + -6.5x = -9 + 9.7x + -9.7x Combine like terms: 9.7x + -9.7x = 0.0 4 + -6.5x = -9 + 0.0 4 + -6.5x = -9 Add '-4' to each side of the equation. 4 + -4 + -6.5x = -9 + -4 Combine like terms: 4 + -4 = 0 0 + -6.5x = -9 + -4 -6.5x = -9 + -4 Combine like terms: -9 + -4 = -13 -6.5x = -13 Divide each side by '-6.5'. x = 2 Simplifying x = 2
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