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Simplifying 4x + -5 + -7x = 9 + 9x + 6 Reorder the terms: -5 + 4x + -7x = 9 + 9x + 6 Combine like terms: 4x + -7x = -3x -5 + -3x = 9 + 9x + 6 Reorder the terms: -5 + -3x = 9 + 6 + 9x Combine like terms: 9 + 6 = 15 -5 + -3x = 15 + 9x Solving -5 + -3x = 15 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -5 + -3x + -9x = 15 + 9x + -9x Combine like terms: -3x + -9x = -12x -5 + -12x = 15 + 9x + -9x Combine like terms: 9x + -9x = 0 -5 + -12x = 15 + 0 -5 + -12x = 15 Add '5' to each side of the equation. -5 + 5 + -12x = 15 + 5 Combine like terms: -5 + 5 = 0 0 + -12x = 15 + 5 -12x = 15 + 5 Combine like terms: 15 + 5 = 20 -12x = 20 Divide each side by '-12'. x = -1.666666667 Simplifying x = -1.666666667
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