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Simplifying (x + 2) + -2(3 + -2x) = 2(x + 3) + -4 Reorder the terms: (2 + x) + -2(3 + -2x) = 2(x + 3) + -4 Remove parenthesis around (2 + x) 2 + x + -2(3 + -2x) = 2(x + 3) + -4 2 + x + (3 * -2 + -2x * -2) = 2(x + 3) + -4 2 + x + (-6 + 4x) = 2(x + 3) + -4 Reorder the terms: 2 + -6 + x + 4x = 2(x + 3) + -4 Combine like terms: 2 + -6 = -4 -4 + x + 4x = 2(x + 3) + -4 Combine like terms: x + 4x = 5x -4 + 5x = 2(x + 3) + -4 Reorder the terms: -4 + 5x = 2(3 + x) + -4 -4 + 5x = (3 * 2 + x * 2) + -4 -4 + 5x = (6 + 2x) + -4 Reorder the terms: -4 + 5x = 6 + -4 + 2x Combine like terms: 6 + -4 = 2 -4 + 5x = 2 + 2x Solving -4 + 5x = 2 + 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 + 5x + -2x = 2 + 2x + -2x Combine like terms: 5x + -2x = 3x -4 + 3x = 2 + 2x + -2x Combine like terms: 2x + -2x = 0 -4 + 3x = 2 + 0 -4 + 3x = 2 Add '4' to each side of the equation. -4 + 4 + 3x = 2 + 4 Combine like terms: -4 + 4 = 0 0 + 3x = 2 + 4 3x = 2 + 4 Combine like terms: 2 + 4 = 6 3x = 6 Divide each side by '3'. x = 2 Simplifying x = 2
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