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Simplifying 8x + -2(x + 1) = 2(2x + -1) Reorder the terms: 8x + -2(1 + x) = 2(2x + -1) 8x + (1 * -2 + x * -2) = 2(2x + -1) 8x + (-2 + -2x) = 2(2x + -1) Reorder the terms: -2 + 8x + -2x = 2(2x + -1) Combine like terms: 8x + -2x = 6x -2 + 6x = 2(2x + -1) Reorder the terms: -2 + 6x = 2(-1 + 2x) -2 + 6x = (-1 * 2 + 2x * 2) -2 + 6x = (-2 + 4x) Add '2' to each side of the equation. -2 + 2 + 6x = -2 + 2 + 4x Combine like terms: -2 + 2 = 0 0 + 6x = -2 + 2 + 4x 6x = -2 + 2 + 4x Combine like terms: -2 + 2 = 0 6x = 0 + 4x 6x = 4x Solving 6x = 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 6x + -4x = 4x + -4x Combine like terms: 6x + -4x = 2x 2x = 4x + -4x Combine like terms: 4x + -4x = 0 2x = 0 Divide each side by '2'. x = 0 Simplifying x = 0
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