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Simplifying -0.8x + -8.2 = 1.2x + 5.8 Reorder the terms: -8.2 + -0.8x = 1.2x + 5.8 Reorder the terms: -8.2 + -0.8x = 5.8 + 1.2x Solving -8.2 + -0.8x = 5.8 + 1.2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.2x' to each side of the equation. -8.2 + -0.8x + -1.2x = 5.8 + 1.2x + -1.2x Combine like terms: -0.8x + -1.2x = -2x -8.2 + -2x = 5.8 + 1.2x + -1.2x Combine like terms: 1.2x + -1.2x = 0.0 -8.2 + -2x = 5.8 + 0.0 -8.2 + -2x = 5.8 Add '8.2' to each side of the equation. -8.2 + 8.2 + -2x = 5.8 + 8.2 Combine like terms: -8.2 + 8.2 = 0.0 0.0 + -2x = 5.8 + 8.2 -2x = 5.8 + 8.2 Combine like terms: 5.8 + 8.2 = 14 -2x = 14 Divide each side by '-2'. x = -7 Simplifying x = -7
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