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Simplifying -8.3 + 3x + -6.4 + 4x + -2.5 = 5.1 + 8x + 1.6 Reorder the terms: -8.3 + -6.4 + -2.5 + 3x + 4x = 5.1 + 8x + 1.6 Combine like terms: -8.3 + -6.4 = -14.7 -14.7 + -2.5 + 3x + 4x = 5.1 + 8x + 1.6 Combine like terms: -14.7 + -2.5 = -17.2 -17.2 + 3x + 4x = 5.1 + 8x + 1.6 Combine like terms: 3x + 4x = 7x -17.2 + 7x = 5.1 + 8x + 1.6 Reorder the terms: -17.2 + 7x = 5.1 + 1.6 + 8x Combine like terms: 5.1 + 1.6 = 6.7 -17.2 + 7x = 6.7 + 8x Solving -17.2 + 7x = 6.7 + 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. -17.2 + 7x + -8x = 6.7 + 8x + -8x Combine like terms: 7x + -8x = -1x -17.2 + -1x = 6.7 + 8x + -8x Combine like terms: 8x + -8x = 0 -17.2 + -1x = 6.7 + 0 -17.2 + -1x = 6.7 Add '17.2' to each side of the equation. -17.2 + 17.2 + -1x = 6.7 + 17.2 Combine like terms: -17.2 + 17.2 = 0.0 0.0 + -1x = 6.7 + 17.2 -1x = 6.7 + 17.2 Combine like terms: 6.7 + 17.2 = 23.9 -1x = 23.9 Divide each side by '-1'. x = -23.9 Simplifying x = -23.9
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