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Simplifying 6x + 4 + -2x + 9x + -8 = 10 + -7x + 2x + 12 + 9x Reorder the terms: 4 + -8 + 6x + -2x + 9x = 10 + -7x + 2x + 12 + 9x Combine like terms: 4 + -8 = -4 -4 + 6x + -2x + 9x = 10 + -7x + 2x + 12 + 9x Combine like terms: 6x + -2x = 4x -4 + 4x + 9x = 10 + -7x + 2x + 12 + 9x Combine like terms: 4x + 9x = 13x -4 + 13x = 10 + -7x + 2x + 12 + 9x Reorder the terms: -4 + 13x = 10 + 12 + -7x + 2x + 9x Combine like terms: 10 + 12 = 22 -4 + 13x = 22 + -7x + 2x + 9x Combine like terms: -7x + 2x = -5x -4 + 13x = 22 + -5x + 9x Combine like terms: -5x + 9x = 4x -4 + 13x = 22 + 4x Solving -4 + 13x = 22 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -4 + 13x + -4x = 22 + 4x + -4x Combine like terms: 13x + -4x = 9x -4 + 9x = 22 + 4x + -4x Combine like terms: 4x + -4x = 0 -4 + 9x = 22 + 0 -4 + 9x = 22 Add '4' to each side of the equation. -4 + 4 + 9x = 22 + 4 Combine like terms: -4 + 4 = 0 0 + 9x = 22 + 4 9x = 22 + 4 Combine like terms: 22 + 4 = 26 9x = 26 Divide each side by '9'. x = 2.888888889 Simplifying x = 2.888888889
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