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Simplifying (x + 3) + -2(3 + -2x) = 3(x + 3) + -2 Reorder the terms: (3 + x) + -2(3 + -2x) = 3(x + 3) + -2 Remove parenthesis around (3 + x) 3 + x + -2(3 + -2x) = 3(x + 3) + -2 3 + x + (3 * -2 + -2x * -2) = 3(x + 3) + -2 3 + x + (-6 + 4x) = 3(x + 3) + -2 Reorder the terms: 3 + -6 + x + 4x = 3(x + 3) + -2 Combine like terms: 3 + -6 = -3 -3 + x + 4x = 3(x + 3) + -2 Combine like terms: x + 4x = 5x -3 + 5x = 3(x + 3) + -2 Reorder the terms: -3 + 5x = 3(3 + x) + -2 -3 + 5x = (3 * 3 + x * 3) + -2 -3 + 5x = (9 + 3x) + -2 Reorder the terms: -3 + 5x = 9 + -2 + 3x Combine like terms: 9 + -2 = 7 -3 + 5x = 7 + 3x Solving -3 + 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. -3 + 5x + -3x = 7 + 3x + -3x Combine like terms: 5x + -3x = 2x -3 + 2x = 7 + 3x + -3x Combine like terms: 3x + -3x = 0 -3 + 2x = 7 + 0 -3 + 2x = 7 Add '3' to each side of the equation. -3 + 3 + 2x = 7 + 3 Combine like terms: -3 + 3 = 0 0 + 2x = 7 + 3 2x = 7 + 3 Combine like terms: 7 + 3 = 10 2x = 10 Divide each side by '2'. x = 5 Simplifying x = 5
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