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