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Simplifying 5x + -3 + 6x + -1 = -3x + 9 + 8x + -2 Reorder the terms: -3 + -1 + 5x + 6x = -3x + 9 + 8x + -2 Combine like terms: -3 + -1 = -4 -4 + 5x + 6x = -3x + 9 + 8x + -2 Combine like terms: 5x + 6x = 11x -4 + 11x = -3x + 9 + 8x + -2 Reorder the terms: -4 + 11x = 9 + -2 + -3x + 8x Combine like terms: 9 + -2 = 7 -4 + 11x = 7 + -3x + 8x Combine like terms: -3x + 8x = 5x -4 + 11x = 7 + 5x Solving -4 + 11x = 7 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -4 + 11x + -5x = 7 + 5x + -5x Combine like terms: 11x + -5x = 6x -4 + 6x = 7 + 5x + -5x Combine like terms: 5x + -5x = 0 -4 + 6x = 7 + 0 -4 + 6x = 7 Add '4' to each side of the equation. -4 + 4 + 6x = 7 + 4 Combine like terms: -4 + 4 = 0 0 + 6x = 7 + 4 6x = 7 + 4 Combine like terms: 7 + 4 = 11 6x = 11 Divide each side by '6'. x = 1.833333333 Simplifying x = 1.833333333
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