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Simplifying 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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