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Simplifying -8.2 + -3x + -4.5 + -1x = -3x + 5.1 Reorder the terms: -8.2 + -4.5 + -3x + -1x = -3x + 5.1 Combine like terms: -8.2 + -4.5 = -12.7 -12.7 + -3x + -1x = -3x + 5.1 Combine like terms: -3x + -1x = -4x -12.7 + -4x = -3x + 5.1 Reorder the terms: -12.7 + -4x = 5.1 + -3x Solving -12.7 + -4x = 5.1 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -12.7 + -4x + 3x = 5.1 + -3x + 3x Combine like terms: -4x + 3x = -1x -12.7 + -1x = 5.1 + -3x + 3x Combine like terms: -3x + 3x = 0 -12.7 + -1x = 5.1 + 0 -12.7 + -1x = 5.1 Add '12.7' to each side of the equation. -12.7 + 12.7 + -1x = 5.1 + 12.7 Combine like terms: -12.7 + 12.7 = 0.0 0.0 + -1x = 5.1 + 12.7 -1x = 5.1 + 12.7 Combine like terms: 5.1 + 12.7 = 17.8 -1x = 17.8 Divide each side by '-1'. x = -17.8 Simplifying x = -17.8
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