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Simplifying 11x + -6 + -4x + 1 = 9 + -8 + -2x + 12 Reorder the terms: -6 + 1 + 11x + -4x = 9 + -8 + -2x + 12 Combine like terms: -6 + 1 = -5 -5 + 11x + -4x = 9 + -8 + -2x + 12 Combine like terms: 11x + -4x = 7x -5 + 7x = 9 + -8 + -2x + 12 Reorder the terms: -5 + 7x = 9 + -8 + 12 + -2x Combine like terms: 9 + -8 = 1 -5 + 7x = 1 + 12 + -2x Combine like terms: 1 + 12 = 13 -5 + 7x = 13 + -2x Solving -5 + 7x = 13 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -5 + 7x + 2x = 13 + -2x + 2x Combine like terms: 7x + 2x = 9x -5 + 9x = 13 + -2x + 2x Combine like terms: -2x + 2x = 0 -5 + 9x = 13 + 0 -5 + 9x = 13 Add '5' to each side of the equation. -5 + 5 + 9x = 13 + 5 Combine like terms: -5 + 5 = 0 0 + 9x = 13 + 5 9x = 13 + 5 Combine like terms: 13 + 5 = 18 9x = 18 Divide each side by '9'. x = 2 Simplifying x = 2
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