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Simplifying 7x + 5 + -2x + 2x = 14x + -9 + 2x + -11x + 8 Reorder the terms: 5 + 7x + -2x + 2x = 14x + -9 + 2x + -11x + 8 Combine like terms: 7x + -2x = 5x 5 + 5x + 2x = 14x + -9 + 2x + -11x + 8 Combine like terms: 5x + 2x = 7x 5 + 7x = 14x + -9 + 2x + -11x + 8 Reorder the terms: 5 + 7x = -9 + 8 + 14x + 2x + -11x Combine like terms: -9 + 8 = -1 5 + 7x = -1 + 14x + 2x + -11x Combine like terms: 14x + 2x = 16x 5 + 7x = -1 + 16x + -11x Combine like terms: 16x + -11x = 5x 5 + 7x = -1 + 5x Solving 5 + 7x = -1 + 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. 5 + 7x + -5x = -1 + 5x + -5x Combine like terms: 7x + -5x = 2x 5 + 2x = -1 + 5x + -5x Combine like terms: 5x + -5x = 0 5 + 2x = -1 + 0 5 + 2x = -1 Add '-5' to each side of the equation. 5 + -5 + 2x = -1 + -5 Combine like terms: 5 + -5 = 0 0 + 2x = -1 + -5 2x = -1 + -5 Combine like terms: -1 + -5 = -6 2x = -6 Divide each side by '2'. x = -3 Simplifying x = -3
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