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Simplifying -8.9 + 2x + -6.2 + 3x + -2.6 = 5.8 + 6x + 1.7 Reorder the terms: -8.9 + -6.2 + -2.6 + 2x + 3x = 5.8 + 6x + 1.7 Combine like terms: -8.9 + -6.2 = -15.1 -15.1 + -2.6 + 2x + 3x = 5.8 + 6x + 1.7 Combine like terms: -15.1 + -2.6 = -17.7 -17.7 + 2x + 3x = 5.8 + 6x + 1.7 Combine like terms: 2x + 3x = 5x -17.7 + 5x = 5.8 + 6x + 1.7 Reorder the terms: -17.7 + 5x = 5.8 + 1.7 + 6x Combine like terms: 5.8 + 1.7 = 7.5 -17.7 + 5x = 7.5 + 6x Solving -17.7 + 5x = 7.5 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -17.7 + 5x + -6x = 7.5 + 6x + -6x Combine like terms: 5x + -6x = -1x -17.7 + -1x = 7.5 + 6x + -6x Combine like terms: 6x + -6x = 0 -17.7 + -1x = 7.5 + 0 -17.7 + -1x = 7.5 Add '17.7' to each side of the equation. -17.7 + 17.7 + -1x = 7.5 + 17.7 Combine like terms: -17.7 + 17.7 = 0.0 0.0 + -1x = 7.5 + 17.7 -1x = 7.5 + 17.7 Combine like terms: 7.5 + 17.7 = 25.2 -1x = 25.2 Divide each side by '-1'. x = -25.2 Simplifying x = -25.2
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