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Simplifying 5x + 9 + -7x + -11 + 11x + 6 = 3x + 22 Reorder the terms: 9 + -11 + 6 + 5x + -7x + 11x = 3x + 22 Combine like terms: 9 + -11 = -2 -2 + 6 + 5x + -7x + 11x = 3x + 22 Combine like terms: -2 + 6 = 4 4 + 5x + -7x + 11x = 3x + 22 Combine like terms: 5x + -7x = -2x 4 + -2x + 11x = 3x + 22 Combine like terms: -2x + 11x = 9x 4 + 9x = 3x + 22 Reorder the terms: 4 + 9x = 22 + 3x Solving 4 + 9x = 22 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 4 + 9x + -3x = 22 + 3x + -3x Combine like terms: 9x + -3x = 6x 4 + 6x = 22 + 3x + -3x Combine like terms: 3x + -3x = 0 4 + 6x = 22 + 0 4 + 6x = 22 Add '-4' to each side of the equation. 4 + -4 + 6x = 22 + -4 Combine like terms: 4 + -4 = 0 0 + 6x = 22 + -4 6x = 22 + -4 Combine like terms: 22 + -4 = 18 6x = 18 Divide each side by '6'. x = 3 Simplifying x = 3
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