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Simplifying 8.2 = 7x + 8.9 Reorder the terms: 8.2 = 8.9 + 7x Solving 8.2 = 8.9 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 8.2 + -7x = 8.9 + 7x + -7x Combine like terms: 7x + -7x = 0 8.2 + -7x = 8.9 + 0 8.2 + -7x = 8.9 Add '-8.2' to each side of the equation. 8.2 + -8.2 + -7x = 8.9 + -8.2 Combine like terms: 8.2 + -8.2 = 0.0 0.0 + -7x = 8.9 + -8.2 -7x = 8.9 + -8.2 Combine like terms: 8.9 + -8.2 = 0.7 -7x = 0.7 Divide each side by '-7'. x = -0.1 Simplifying x = -0.1
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