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Simplifying -7.8 + -5x + -8.9 + -1x = -5x + 10.2 Reorder the terms: -7.8 + -8.9 + -5x + -1x = -5x + 10.2 Combine like terms: -7.8 + -8.9 = -16.7 -16.7 + -5x + -1x = -5x + 10.2 Combine like terms: -5x + -1x = -6x -16.7 + -6x = -5x + 10.2 Reorder the terms: -16.7 + -6x = 10.2 + -5x Solving -16.7 + -6x = 10.2 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -16.7 + -6x + 5x = 10.2 + -5x + 5x Combine like terms: -6x + 5x = -1x -16.7 + -1x = 10.2 + -5x + 5x Combine like terms: -5x + 5x = 0 -16.7 + -1x = 10.2 + 0 -16.7 + -1x = 10.2 Add '16.7' to each side of the equation. -16.7 + 16.7 + -1x = 10.2 + 16.7 Combine like terms: -16.7 + 16.7 = 0.0 0.0 + -1x = 10.2 + 16.7 -1x = 10.2 + 16.7 Combine like terms: 10.2 + 16.7 = 26.9 -1x = 26.9 Divide each side by '-1'. x = -26.9 Simplifying x = -26.9
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