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Simplifying -8.9 + 3x + -6.1 + 4x + -2.7 = 5.9 + 8x + 1.6 Reorder the terms: -8.9 + -6.1 + -2.7 + 3x + 4x = 5.9 + 8x + 1.6 Combine like terms: -8.9 + -6.1 = -15 -15 + -2.7 + 3x + 4x = 5.9 + 8x + 1.6 Combine like terms: -15 + -2.7 = -17.7 -17.7 + 3x + 4x = 5.9 + 8x + 1.6 Combine like terms: 3x + 4x = 7x -17.7 + 7x = 5.9 + 8x + 1.6 Reorder the terms: -17.7 + 7x = 5.9 + 1.6 + 8x Combine like terms: 5.9 + 1.6 = 7.5 -17.7 + 7x = 7.5 + 8x Solving -17.7 + 7x = 7.5 + 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. -17.7 + 7x + -8x = 7.5 + 8x + -8x Combine like terms: 7x + -8x = -1x -17.7 + -1x = 7.5 + 8x + -8x Combine like terms: 8x + -8x = 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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