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Simplifying -6.7 + -4x + -6.1 + -2x = -5x + -5.4 Reorder the terms: -6.7 + -6.1 + -4x + -2x = -5x + -5.4 Combine like terms: -6.7 + -6.1 = -12.8 -12.8 + -4x + -2x = -5x + -5.4 Combine like terms: -4x + -2x = -6x -12.8 + -6x = -5x + -5.4 Reorder the terms: -12.8 + -6x = -5.4 + -5x Solving -12.8 + -6x = -5.4 + -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. -12.8 + -6x + 5x = -5.4 + -5x + 5x Combine like terms: -6x + 5x = -1x -12.8 + -1x = -5.4 + -5x + 5x Combine like terms: -5x + 5x = 0 -12.8 + -1x = -5.4 + 0 -12.8 + -1x = -5.4 Add '12.8' to each side of the equation. -12.8 + 12.8 + -1x = -5.4 + 12.8 Combine like terms: -12.8 + 12.8 = 0.0 0.0 + -1x = -5.4 + 12.8 -1x = -5.4 + 12.8 Combine like terms: -5.4 + 12.8 = 7.4 -1x = 7.4 Divide each side by '-1'. x = -7.4 Simplifying x = -7.4
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