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Simplifying 6x + 7(2 + -1x) = 14 + -9x + -8 6x + (2 * 7 + -1x * 7) = 14 + -9x + -8 6x + (14 + -7x) = 14 + -9x + -8 Reorder the terms: 14 + 6x + -7x = 14 + -9x + -8 Combine like terms: 6x + -7x = -1x 14 + -1x = 14 + -9x + -8 Reorder the terms: 14 + -1x = 14 + -8 + -9x Combine like terms: 14 + -8 = 6 14 + -1x = 6 + -9x Solving 14 + -1x = 6 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. 14 + -1x + 9x = 6 + -9x + 9x Combine like terms: -1x + 9x = 8x 14 + 8x = 6 + -9x + 9x Combine like terms: -9x + 9x = 0 14 + 8x = 6 + 0 14 + 8x = 6 Add '-14' to each side of the equation. 14 + -14 + 8x = 6 + -14 Combine like terms: 14 + -14 = 0 0 + 8x = 6 + -14 8x = 6 + -14 Combine like terms: 6 + -14 = -8 8x = -8 Divide each side by '8'. x = -1 Simplifying x = -1
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