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Simplifying 7x + -1(5 + -1x + -3) = 8x + -14 + -2x Reorder the terms: 7x + -1(5 + -3 + -1x) = 8x + -14 + -2x Combine like terms: 5 + -3 = 2 7x + -1(2 + -1x) = 8x + -14 + -2x 7x + (2 * -1 + -1x * -1) = 8x + -14 + -2x 7x + (-2 + 1x) = 8x + -14 + -2x Reorder the terms: -2 + 7x + 1x = 8x + -14 + -2x Combine like terms: 7x + 1x = 8x -2 + 8x = 8x + -14 + -2x Reorder the terms: -2 + 8x = -14 + 8x + -2x Combine like terms: 8x + -2x = 6x -2 + 8x = -14 + 6x Solving -2 + 8x = -14 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -2 + 8x + -6x = -14 + 6x + -6x Combine like terms: 8x + -6x = 2x -2 + 2x = -14 + 6x + -6x Combine like terms: 6x + -6x = 0 -2 + 2x = -14 + 0 -2 + 2x = -14 Add '2' to each side of the equation. -2 + 2 + 2x = -14 + 2 Combine like terms: -2 + 2 = 0 0 + 2x = -14 + 2 2x = -14 + 2 Combine like terms: -14 + 2 = -12 2x = -12 Divide each side by '2'. x = -6 Simplifying x = -6
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