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Simplifying -8.1 + 5x + -6.1 + 2x + -2.5 = 5.8 + 8x + 1.4 Reorder the terms: -8.1 + -6.1 + -2.5 + 5x + 2x = 5.8 + 8x + 1.4 Combine like terms: -8.1 + -6.1 = -14.2 -14.2 + -2.5 + 5x + 2x = 5.8 + 8x + 1.4 Combine like terms: -14.2 + -2.5 = -16.7 -16.7 + 5x + 2x = 5.8 + 8x + 1.4 Combine like terms: 5x + 2x = 7x -16.7 + 7x = 5.8 + 8x + 1.4 Reorder the terms: -16.7 + 7x = 5.8 + 1.4 + 8x Combine like terms: 5.8 + 1.4 = 7.2 -16.7 + 7x = 7.2 + 8x Solving -16.7 + 7x = 7.2 + 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. -16.7 + 7x + -8x = 7.2 + 8x + -8x Combine like terms: 7x + -8x = -1x -16.7 + -1x = 7.2 + 8x + -8x Combine like terms: 8x + -8x = 0 -16.7 + -1x = 7.2 + 0 -16.7 + -1x = 7.2 Add '16.7' to each side of the equation. -16.7 + 16.7 + -1x = 7.2 + 16.7 Combine like terms: -16.7 + 16.7 = 0.0 0.0 + -1x = 7.2 + 16.7 -1x = 7.2 + 16.7 Combine like terms: 7.2 + 16.7 = 23.9 -1x = 23.9 Divide each side by '-1'. x = -23.9 Simplifying x = -23.9
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