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