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Simplifying 6x + -1(5x + 6) = 9x + -14 Reorder the terms: 6x + -1(6 + 5x) = 9x + -14 6x + (6 * -1 + 5x * -1) = 9x + -14 6x + (-6 + -5x) = 9x + -14 Reorder the terms: -6 + 6x + -5x = 9x + -14 Combine like terms: 6x + -5x = 1x -6 + 1x = 9x + -14 Reorder the terms: -6 + 1x = -14 + 9x Solving -6 + 1x = -14 + 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. -6 + 1x + -9x = -14 + 9x + -9x Combine like terms: 1x + -9x = -8x -6 + -8x = -14 + 9x + -9x Combine like terms: 9x + -9x = 0 -6 + -8x = -14 + 0 -6 + -8x = -14 Add '6' to each side of the equation. -6 + 6 + -8x = -14 + 6 Combine like terms: -6 + 6 = 0 0 + -8x = -14 + 6 -8x = -14 + 6 Combine like terms: -14 + 6 = -8 -8x = -8 Divide each side by '-8'. x = 1 Simplifying x = 1
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