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Simplifying (x + 2) + -2(3 + -3x) = 4(x + 4) + -2 Reorder the terms: (2 + x) + -2(3 + -3x) = 4(x + 4) + -2 Remove parenthesis around (2 + x) 2 + x + -2(3 + -3x) = 4(x + 4) + -2 2 + x + (3 * -2 + -3x * -2) = 4(x + 4) + -2 2 + x + (-6 + 6x) = 4(x + 4) + -2 Reorder the terms: 2 + -6 + x + 6x = 4(x + 4) + -2 Combine like terms: 2 + -6 = -4 -4 + x + 6x = 4(x + 4) + -2 Combine like terms: x + 6x = 7x -4 + 7x = 4(x + 4) + -2 Reorder the terms: -4 + 7x = 4(4 + x) + -2 -4 + 7x = (4 * 4 + x * 4) + -2 -4 + 7x = (16 + 4x) + -2 Reorder the terms: -4 + 7x = 16 + -2 + 4x Combine like terms: 16 + -2 = 14 -4 + 7x = 14 + 4x Solving -4 + 7x = 14 + 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 + 7x + -4x = 14 + 4x + -4x Combine like terms: 7x + -4x = 3x -4 + 3x = 14 + 4x + -4x Combine like terms: 4x + -4x = 0 -4 + 3x = 14 + 0 -4 + 3x = 14 Add '4' to each side of the equation. -4 + 4 + 3x = 14 + 4 Combine like terms: -4 + 4 = 0 0 + 3x = 14 + 4 3x = 14 + 4 Combine like terms: 14 + 4 = 18 3x = 18 Divide each side by '3'. x = 6 Simplifying x = 6
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