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Simplifying -8.1 + 3x + -6.3 + 2x + -2.6 = 5.7 + 6x + 1.4 Reorder the terms: -8.1 + -6.3 + -2.6 + 3x + 2x = 5.7 + 6x + 1.4 Combine like terms: -8.1 + -6.3 = -14.4 -14.4 + -2.6 + 3x + 2x = 5.7 + 6x + 1.4 Combine like terms: -14.4 + -2.6 = -17 -17 + 3x + 2x = 5.7 + 6x + 1.4 Combine like terms: 3x + 2x = 5x -17 + 5x = 5.7 + 6x + 1.4 Reorder the terms: -17 + 5x = 5.7 + 1.4 + 6x Combine like terms: 5.7 + 1.4 = 7.1 -17 + 5x = 7.1 + 6x Solving -17 + 5x = 7.1 + 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 + 5x + -6x = 7.1 + 6x + -6x Combine like terms: 5x + -6x = -1x -17 + -1x = 7.1 + 6x + -6x Combine like terms: 6x + -6x = 0 -17 + -1x = 7.1 + 0 -17 + -1x = 7.1 Add '17' to each side of the equation. -17 + 17 + -1x = 7.1 + 17 Combine like terms: -17 + 17 = 0 0 + -1x = 7.1 + 17 -1x = 7.1 + 17 Combine like terms: 7.1 + 17 = 24.1 -1x = 24.1 Divide each side by '-1'. x = -24.1 Simplifying x = -24.1
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