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Simplifying 2x + 8 = -2(-2x + -6) Reorder the terms: 8 + 2x = -2(-2x + -6) Reorder the terms: 8 + 2x = -2(-6 + -2x) 8 + 2x = (-6 * -2 + -2x * -2) 8 + 2x = (12 + 4x) Solving 8 + 2x = 12 + 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. 8 + 2x + -4x = 12 + 4x + -4x Combine like terms: 2x + -4x = -2x 8 + -2x = 12 + 4x + -4x Combine like terms: 4x + -4x = 0 8 + -2x = 12 + 0 8 + -2x = 12 Add '-8' to each side of the equation. 8 + -8 + -2x = 12 + -8 Combine like terms: 8 + -8 = 0 0 + -2x = 12 + -8 -2x = 12 + -8 Combine like terms: 12 + -8 = 4 -2x = 4 Divide each side by '-2'. x = -2 Simplifying x = -2
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