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Simplifying -0.6x + 8.14 = -0.8x + 7.94 Reorder the terms: 8.14 + -0.6x = -0.8x + 7.94 Reorder the terms: 8.14 + -0.6x = 7.94 + -0.8x Solving 8.14 + -0.6x = 7.94 + -0.8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.8x' to each side of the equation. 8.14 + -0.6x + 0.8x = 7.94 + -0.8x + 0.8x Combine like terms: -0.6x + 0.8x = 0.2x 8.14 + 0.2x = 7.94 + -0.8x + 0.8x Combine like terms: -0.8x + 0.8x = 0.0 8.14 + 0.2x = 7.94 + 0.0 8.14 + 0.2x = 7.94 Add '-8.14' to each side of the equation. 8.14 + -8.14 + 0.2x = 7.94 + -8.14 Combine like terms: 8.14 + -8.14 = 0.00 0.00 + 0.2x = 7.94 + -8.14 0.2x = 7.94 + -8.14 Combine like terms: 7.94 + -8.14 = -0.2 0.2x = -0.2 Divide each side by '0.2'. x = -1 Simplifying x = -1
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