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Simplifying 9.7x + 8.2 = 5.9x + -7 Reorder the terms: 8.2 + 9.7x = 5.9x + -7 Reorder the terms: 8.2 + 9.7x = -7 + 5.9x Solving 8.2 + 9.7x = -7 + 5.9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5.9x' to each side of the equation. 8.2 + 9.7x + -5.9x = -7 + 5.9x + -5.9x Combine like terms: 9.7x + -5.9x = 3.8x 8.2 + 3.8x = -7 + 5.9x + -5.9x Combine like terms: 5.9x + -5.9x = 0.0 8.2 + 3.8x = -7 + 0.0 8.2 + 3.8x = -7 Add '-8.2' to each side of the equation. 8.2 + -8.2 + 3.8x = -7 + -8.2 Combine like terms: 8.2 + -8.2 = 0.0 0.0 + 3.8x = -7 + -8.2 3.8x = -7 + -8.2 Combine like terms: -7 + -8.2 = -15.2 3.8x = -15.2 Divide each side by '3.8'. x = -4 Simplifying x = -4
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