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Simplifying -2(x + 2) = 2x + 3 + 1 Reorder the terms: -2(2 + x) = 2x + 3 + 1 (2 * -2 + x * -2) = 2x + 3 + 1 (-4 + -2x) = 2x + 3 + 1 Reorder the terms: -4 + -2x = 3 + 1 + 2x Combine like terms: 3 + 1 = 4 -4 + -2x = 4 + 2x Solving -4 + -2x = 4 + 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. -4 + -2x + -2x = 4 + 2x + -2x Combine like terms: -2x + -2x = -4x -4 + -4x = 4 + 2x + -2x Combine like terms: 2x + -2x = 0 -4 + -4x = 4 + 0 -4 + -4x = 4 Add '4' to each side of the equation. -4 + 4 + -4x = 4 + 4 Combine like terms: -4 + 4 = 0 0 + -4x = 4 + 4 -4x = 4 + 4 Combine like terms: 4 + 4 = 8 -4x = 8 Divide each side by '-4'. x = -2 Simplifying x = -2
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