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Simplifying -2(2x + 3) = 2x + 6 Reorder the terms: -2(3 + 2x) = 2x + 6 (3 * -2 + 2x * -2) = 2x + 6 (-6 + -4x) = 2x + 6 Reorder the terms: -6 + -4x = 6 + 2x Solving -6 + -4x = 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 + -4x + -2x = 6 + 2x + -2x Combine like terms: -4x + -2x = -6x -6 + -6x = 6 + 2x + -2x Combine like terms: 2x + -2x = 0 -6 + -6x = 6 + 0 -6 + -6x = 6 Add '6' to each side of the equation. -6 + 6 + -6x = 6 + 6 Combine like terms: -6 + 6 = 0 0 + -6x = 6 + 6 -6x = 6 + 6 Combine like terms: 6 + 6 = 12 -6x = 12 Divide each side by '-6'. x = -2 Simplifying x = -2
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