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