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