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Simplifying 10.6x + 84.62 = 9.4x + 82.84 Reorder the terms: 84.62 + 10.6x = 9.4x + 82.84 Reorder the terms: 84.62 + 10.6x = 82.84 + 9.4x Solving 84.62 + 10.6x = 82.84 + 9.4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9.4x' to each side of the equation. 84.62 + 10.6x + -9.4x = 82.84 + 9.4x + -9.4x Combine like terms: 10.6x + -9.4x = 1.2x 84.62 + 1.2x = 82.84 + 9.4x + -9.4x Combine like terms: 9.4x + -9.4x = 0.0 84.62 + 1.2x = 82.84 + 0.0 84.62 + 1.2x = 82.84 Add '-84.62' to each side of the equation. 84.62 + -84.62 + 1.2x = 82.84 + -84.62 Combine like terms: 84.62 + -84.62 = 0.00 0.00 + 1.2x = 82.84 + -84.62 1.2x = 82.84 + -84.62 Combine like terms: 82.84 + -84.62 = -1.78 1.2x = -1.78 Divide each side by '1.2'. x = -1.483333333 Simplifying x = -1.483333333
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