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Simplifying 4x + 7x + -9 = 5x + -10 + -12 Reorder the terms: -9 + 4x + 7x = 5x + -10 + -12 Combine like terms: 4x + 7x = 11x -9 + 11x = 5x + -10 + -12 Reorder the terms: -9 + 11x = -10 + -12 + 5x Combine like terms: -10 + -12 = -22 -9 + 11x = -22 + 5x Solving -9 + 11x = -22 + 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. -9 + 11x + -5x = -22 + 5x + -5x Combine like terms: 11x + -5x = 6x -9 + 6x = -22 + 5x + -5x Combine like terms: 5x + -5x = 0 -9 + 6x = -22 + 0 -9 + 6x = -22 Add '9' to each side of the equation. -9 + 9 + 6x = -22 + 9 Combine like terms: -9 + 9 = 0 0 + 6x = -22 + 9 6x = -22 + 9 Combine like terms: -22 + 9 = -13 6x = -13 Divide each side by '6'. x = -2.166666667 Simplifying x = -2.166666667
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