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Simplifying -8.3 + 2x + -6.5 + 4x + -2.3 = 5.1 + 7x + 1.1 Reorder the terms: -8.3 + -6.5 + -2.3 + 2x + 4x = 5.1 + 7x + 1.1 Combine like terms: -8.3 + -6.5 = -14.8 -14.8 + -2.3 + 2x + 4x = 5.1 + 7x + 1.1 Combine like terms: -14.8 + -2.3 = -17.1 -17.1 + 2x + 4x = 5.1 + 7x + 1.1 Combine like terms: 2x + 4x = 6x -17.1 + 6x = 5.1 + 7x + 1.1 Reorder the terms: -17.1 + 6x = 5.1 + 1.1 + 7x Combine like terms: 5.1 + 1.1 = 6.2 -17.1 + 6x = 6.2 + 7x Solving -17.1 + 6x = 6.2 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -17.1 + 6x + -7x = 6.2 + 7x + -7x Combine like terms: 6x + -7x = -1x -17.1 + -1x = 6.2 + 7x + -7x Combine like terms: 7x + -7x = 0 -17.1 + -1x = 6.2 + 0 -17.1 + -1x = 6.2 Add '17.1' to each side of the equation. -17.1 + 17.1 + -1x = 6.2 + 17.1 Combine like terms: -17.1 + 17.1 = 0.0 0.0 + -1x = 6.2 + 17.1 -1x = 6.2 + 17.1 Combine like terms: 6.2 + 17.1 = 23.3 -1x = 23.3 Divide each side by '-1'. x = -23.3 Simplifying x = -23.3
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