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