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Simplifying 6x + -1(7x + 5) = 8x + -14 Reorder the terms: 6x + -1(5 + 7x) = 8x + -14 6x + (5 * -1 + 7x * -1) = 8x + -14 6x + (-5 + -7x) = 8x + -14 Reorder the terms: -5 + 6x + -7x = 8x + -14 Combine like terms: 6x + -7x = -1x -5 + -1x = 8x + -14 Reorder the terms: -5 + -1x = -14 + 8x Solving -5 + -1x = -14 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -5 + -1x + -8x = -14 + 8x + -8x Combine like terms: -1x + -8x = -9x -5 + -9x = -14 + 8x + -8x Combine like terms: 8x + -8x = 0 -5 + -9x = -14 + 0 -5 + -9x = -14 Add '5' to each side of the equation. -5 + 5 + -9x = -14 + 5 Combine like terms: -5 + 5 = 0 0 + -9x = -14 + 5 -9x = -14 + 5 Combine like terms: -14 + 5 = -9 -9x = -9 Divide each side by '-9'. x = 1 Simplifying x = 1
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