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Simplifying 7x + -1(5x + 2) = 8x + -14 Reorder the terms: 7x + -1(2 + 5x) = 8x + -14 7x + (2 * -1 + 5x * -1) = 8x + -14 7x + (-2 + -5x) = 8x + -14 Reorder the terms: -2 + 7x + -5x = 8x + -14 Combine like terms: 7x + -5x = 2x -2 + 2x = 8x + -14 Reorder the terms: -2 + 2x = -14 + 8x Solving -2 + 2x = -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. -2 + 2x + -8x = -14 + 8x + -8x Combine like terms: 2x + -8x = -6x -2 + -6x = -14 + 8x + -8x Combine like terms: 8x + -8x = 0 -2 + -6x = -14 + 0 -2 + -6x = -14 Add '2' to each side of the equation. -2 + 2 + -6x = -14 + 2 Combine like terms: -2 + 2 = 0 0 + -6x = -14 + 2 -6x = -14 + 2 Combine like terms: -14 + 2 = -12 -6x = -12 Divide each side by '-6'. x = 2 Simplifying x = 2
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