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Simplifying (x + 2) + -2(2 + -2x) = 3(x + 5) + -3 Reorder the terms: (2 + x) + -2(2 + -2x) = 3(x + 5) + -3 Remove parenthesis around (2 + x) 2 + x + -2(2 + -2x) = 3(x + 5) + -3 2 + x + (2 * -2 + -2x * -2) = 3(x + 5) + -3 2 + x + (-4 + 4x) = 3(x + 5) + -3 Reorder the terms: 2 + -4 + x + 4x = 3(x + 5) + -3 Combine like terms: 2 + -4 = -2 -2 + x + 4x = 3(x + 5) + -3 Combine like terms: x + 4x = 5x -2 + 5x = 3(x + 5) + -3 Reorder the terms: -2 + 5x = 3(5 + x) + -3 -2 + 5x = (5 * 3 + x * 3) + -3 -2 + 5x = (15 + 3x) + -3 Reorder the terms: -2 + 5x = 15 + -3 + 3x Combine like terms: 15 + -3 = 12 -2 + 5x = 12 + 3x Solving -2 + 5x = 12 + 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 + 5x + -3x = 12 + 3x + -3x Combine like terms: 5x + -3x = 2x -2 + 2x = 12 + 3x + -3x Combine like terms: 3x + -3x = 0 -2 + 2x = 12 + 0 -2 + 2x = 12 Add '2' to each side of the equation. -2 + 2 + 2x = 12 + 2 Combine like terms: -2 + 2 = 0 0 + 2x = 12 + 2 2x = 12 + 2 Combine like terms: 12 + 2 = 14 2x = 14 Divide each side by '2'. x = 7 Simplifying x = 7
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