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Simplifying 8 + 4x + 6 = 6x + 7 + -9x Reorder the terms: 8 + 6 + 4x = 6x + 7 + -9x Combine like terms: 8 + 6 = 14 14 + 4x = 6x + 7 + -9x Reorder the terms: 14 + 4x = 7 + 6x + -9x Combine like terms: 6x + -9x = -3x 14 + 4x = 7 + -3x Solving 14 + 4x = 7 + -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. 14 + 4x + 3x = 7 + -3x + 3x Combine like terms: 4x + 3x = 7x 14 + 7x = 7 + -3x + 3x Combine like terms: -3x + 3x = 0 14 + 7x = 7 + 0 14 + 7x = 7 Add '-14' to each side of the equation. 14 + -14 + 7x = 7 + -14 Combine like terms: 14 + -14 = 0 0 + 7x = 7 + -14 7x = 7 + -14 Combine like terms: 7 + -14 = -7 7x = -7 Divide each side by '7'. x = -1 Simplifying x = -1
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