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Simplifying (x + 2) + -2(2 + -3x) = 3(x + 3) + -3 Reorder the terms: (2 + x) + -2(2 + -3x) = 3(x + 3) + -3 Remove parenthesis around (2 + x) 2 + x + -2(2 + -3x) = 3(x + 3) + -3 2 + x + (2 * -2 + -3x * -2) = 3(x + 3) + -3 2 + x + (-4 + 6x) = 3(x + 3) + -3 Reorder the terms: 2 + -4 + x + 6x = 3(x + 3) + -3 Combine like terms: 2 + -4 = -2 -2 + x + 6x = 3(x + 3) + -3 Combine like terms: x + 6x = 7x -2 + 7x = 3(x + 3) + -3 Reorder the terms: -2 + 7x = 3(3 + x) + -3 -2 + 7x = (3 * 3 + x * 3) + -3 -2 + 7x = (9 + 3x) + -3 Reorder the terms: -2 + 7x = 9 + -3 + 3x Combine like terms: 9 + -3 = 6 -2 + 7x = 6 + 3x Solving -2 + 7x = 6 + 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. -2 + 7x + -3x = 6 + 3x + -3x Combine like terms: 7x + -3x = 4x -2 + 4x = 6 + 3x + -3x Combine like terms: 3x + -3x = 0 -2 + 4x = 6 + 0 -2 + 4x = 6 Add '2' to each side of the equation. -2 + 2 + 4x = 6 + 2 Combine like terms: -2 + 2 = 0 0 + 4x = 6 + 2 4x = 6 + 2 Combine like terms: 6 + 2 = 8 4x = 8 Divide each side by '4'. x = 2 Simplifying x = 2
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