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Simplifying -1(x + 2) + -7x = -2(1 + -3x) Reorder the terms: -1(2 + x) + -7x = -2(1 + -3x) (2 * -1 + x * -1) + -7x = -2(1 + -3x) (-2 + -1x) + -7x = -2(1 + -3x) Combine like terms: -1x + -7x = -8x -2 + -8x = -2(1 + -3x) -2 + -8x = (1 * -2 + -3x * -2) -2 + -8x = (-2 + 6x) Add '2' to each side of the equation. -2 + 2 + -8x = -2 + 2 + 6x Combine like terms: -2 + 2 = 0 0 + -8x = -2 + 2 + 6x -8x = -2 + 2 + 6x Combine like terms: -2 + 2 = 0 -8x = 0 + 6x -8x = 6x Solving -8x = 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. -8x + -6x = 6x + -6x Combine like terms: -8x + -6x = -14x -14x = 6x + -6x Combine like terms: 6x + -6x = 0 -14x = 0 Divide each side by '-14'. x = 0 Simplifying x = 0
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