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Simplifying (x + 3) + -2(4 + -2x) = 3(x + 3) + -2 Reorder the terms: (3 + x) + -2(4 + -2x) = 3(x + 3) + -2 Remove parenthesis around (3 + x) 3 + x + -2(4 + -2x) = 3(x + 3) + -2 3 + x + (4 * -2 + -2x * -2) = 3(x + 3) + -2 3 + x + (-8 + 4x) = 3(x + 3) + -2 Reorder the terms: 3 + -8 + x + 4x = 3(x + 3) + -2 Combine like terms: 3 + -8 = -5 -5 + x + 4x = 3(x + 3) + -2 Combine like terms: x + 4x = 5x -5 + 5x = 3(x + 3) + -2 Reorder the terms: -5 + 5x = 3(3 + x) + -2 -5 + 5x = (3 * 3 + x * 3) + -2 -5 + 5x = (9 + 3x) + -2 Reorder the terms: -5 + 5x = 9 + -2 + 3x Combine like terms: 9 + -2 = 7 -5 + 5x = 7 + 3x Solving -5 + 5x = 7 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -5 + 5x + -3x = 7 + 3x + -3x Combine like terms: 5x + -3x = 2x -5 + 2x = 7 + 3x + -3x Combine like terms: 3x + -3x = 0 -5 + 2x = 7 + 0 -5 + 2x = 7 Add '5' to each side of the equation. -5 + 5 + 2x = 7 + 5 Combine like terms: -5 + 5 = 0 0 + 2x = 7 + 5 2x = 7 + 5 Combine like terms: 7 + 5 = 12 2x = 12 Divide each side by '2'. x = 6 Simplifying x = 6
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