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Simplifying 2(x + 1) = 6(x + -1) Reorder the terms: 2(1 + x) = 6(x + -1) (1 * 2 + x * 2) = 6(x + -1) (2 + 2x) = 6(x + -1) Reorder the terms: 2 + 2x = 6(-1 + x) 2 + 2x = (-1 * 6 + x * 6) 2 + 2x = (-6 + 6x) Solving 2 + 2x = -6 + 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 + 2x + -6x = -6 + 6x + -6x Combine like terms: 2x + -6x = -4x 2 + -4x = -6 + 6x + -6x Combine like terms: 6x + -6x = 0 2 + -4x = -6 + 0 2 + -4x = -6 Add '-2' to each side of the equation. 2 + -2 + -4x = -6 + -2 Combine like terms: 2 + -2 = 0 0 + -4x = -6 + -2 -4x = -6 + -2 Combine like terms: -6 + -2 = -8 -4x = -8 Divide each side by '-4'. x = 2 Simplifying x = 2
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