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Simplifying -2.6 + -5x + -7.8 + -1x = -5x + 2.4 Reorder the terms: -2.6 + -7.8 + -5x + -1x = -5x + 2.4 Combine like terms: -2.6 + -7.8 = -10.4 -10.4 + -5x + -1x = -5x + 2.4 Combine like terms: -5x + -1x = -6x -10.4 + -6x = -5x + 2.4 Reorder the terms: -10.4 + -6x = 2.4 + -5x Solving -10.4 + -6x = 2.4 + -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. -10.4 + -6x + 5x = 2.4 + -5x + 5x Combine like terms: -6x + 5x = -1x -10.4 + -1x = 2.4 + -5x + 5x Combine like terms: -5x + 5x = 0 -10.4 + -1x = 2.4 + 0 -10.4 + -1x = 2.4 Add '10.4' to each side of the equation. -10.4 + 10.4 + -1x = 2.4 + 10.4 Combine like terms: -10.4 + 10.4 = 0.0 0.0 + -1x = 2.4 + 10.4 -1x = 2.4 + 10.4 Combine like terms: 2.4 + 10.4 = 12.8 -1x = 12.8 Divide each side by '-1'. x = -12.8 Simplifying x = -12.8
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