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Simplifying -8.6 + 5x + -6.6 + 2x + -2.6 = 5.3 + 8x + 1.1 Reorder the terms: -8.6 + -6.6 + -2.6 + 5x + 2x = 5.3 + 8x + 1.1 Combine like terms: -8.6 + -6.6 = -15.2 -15.2 + -2.6 + 5x + 2x = 5.3 + 8x + 1.1 Combine like terms: -15.2 + -2.6 = -17.8 -17.8 + 5x + 2x = 5.3 + 8x + 1.1 Combine like terms: 5x + 2x = 7x -17.8 + 7x = 5.3 + 8x + 1.1 Reorder the terms: -17.8 + 7x = 5.3 + 1.1 + 8x Combine like terms: 5.3 + 1.1 = 6.4 -17.8 + 7x = 6.4 + 8x Solving -17.8 + 7x = 6.4 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -17.8 + 7x + -8x = 6.4 + 8x + -8x Combine like terms: 7x + -8x = -1x -17.8 + -1x = 6.4 + 8x + -8x Combine like terms: 8x + -8x = 0 -17.8 + -1x = 6.4 + 0 -17.8 + -1x = 6.4 Add '17.8' to each side of the equation. -17.8 + 17.8 + -1x = 6.4 + 17.8 Combine like terms: -17.8 + 17.8 = 0.0 0.0 + -1x = 6.4 + 17.8 -1x = 6.4 + 17.8 Combine like terms: 6.4 + 17.8 = 24.2 -1x = 24.2 Divide each side by '-1'. x = -24.2 Simplifying x = -24.2
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