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Simplifying 5 + -3x + -7 + -7x + 3x = 9 + -1x + 9 + 6x Reorder the terms: 5 + -7 + -3x + -7x + 3x = 9 + -1x + 9 + 6x Combine like terms: 5 + -7 = -2 -2 + -3x + -7x + 3x = 9 + -1x + 9 + 6x Combine like terms: -3x + -7x = -10x -2 + -10x + 3x = 9 + -1x + 9 + 6x Combine like terms: -10x + 3x = -7x -2 + -7x = 9 + -1x + 9 + 6x Reorder the terms: -2 + -7x = 9 + 9 + -1x + 6x Combine like terms: 9 + 9 = 18 -2 + -7x = 18 + -1x + 6x Combine like terms: -1x + 6x = 5x -2 + -7x = 18 + 5x Solving -2 + -7x = 18 + 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. -2 + -7x + -5x = 18 + 5x + -5x Combine like terms: -7x + -5x = -12x -2 + -12x = 18 + 5x + -5x Combine like terms: 5x + -5x = 0 -2 + -12x = 18 + 0 -2 + -12x = 18 Add '2' to each side of the equation. -2 + 2 + -12x = 18 + 2 Combine like terms: -2 + 2 = 0 0 + -12x = 18 + 2 -12x = 18 + 2 Combine like terms: 18 + 2 = 20 -12x = 20 Divide each side by '-12'. x = -1.666666667 Simplifying x = -1.666666667
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