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Simplifying 7x + -5 + 8x + -9 = 5x + 6x + 14 Reorder the terms: -5 + -9 + 7x + 8x = 5x + 6x + 14 Combine like terms: -5 + -9 = -14 -14 + 7x + 8x = 5x + 6x + 14 Combine like terms: 7x + 8x = 15x -14 + 15x = 5x + 6x + 14 Reorder the terms: -14 + 15x = 14 + 5x + 6x Combine like terms: 5x + 6x = 11x -14 + 15x = 14 + 11x Solving -14 + 15x = 14 + 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. -14 + 15x + -11x = 14 + 11x + -11x Combine like terms: 15x + -11x = 4x -14 + 4x = 14 + 11x + -11x Combine like terms: 11x + -11x = 0 -14 + 4x = 14 + 0 -14 + 4x = 14 Add '14' to each side of the equation. -14 + 14 + 4x = 14 + 14 Combine like terms: -14 + 14 = 0 0 + 4x = 14 + 14 4x = 14 + 14 Combine like terms: 14 + 14 = 28 4x = 28 Divide each side by '4'. x = 7 Simplifying x = 7
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