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