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Simplifying (x + 2) + -2(2 + -3x) = 4(x + 3) + -2 Reorder the terms: (2 + x) + -2(2 + -3x) = 4(x + 3) + -2 Remove parenthesis around (2 + x) 2 + x + -2(2 + -3x) = 4(x + 3) + -2 2 + x + (2 * -2 + -3x * -2) = 4(x + 3) + -2 2 + x + (-4 + 6x) = 4(x + 3) + -2 Reorder the terms: 2 + -4 + x + 6x = 4(x + 3) + -2 Combine like terms: 2 + -4 = -2 -2 + x + 6x = 4(x + 3) + -2 Combine like terms: x + 6x = 7x -2 + 7x = 4(x + 3) + -2 Reorder the terms: -2 + 7x = 4(3 + x) + -2 -2 + 7x = (3 * 4 + x * 4) + -2 -2 + 7x = (12 + 4x) + -2 Reorder the terms: -2 + 7x = 12 + -2 + 4x Combine like terms: 12 + -2 = 10 -2 + 7x = 10 + 4x Solving -2 + 7x = 10 + 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. -2 + 7x + -4x = 10 + 4x + -4x Combine like terms: 7x + -4x = 3x -2 + 3x = 10 + 4x + -4x Combine like terms: 4x + -4x = 0 -2 + 3x = 10 + 0 -2 + 3x = 10 Add '2' to each side of the equation. -2 + 2 + 3x = 10 + 2 Combine like terms: -2 + 2 = 0 0 + 3x = 10 + 2 3x = 10 + 2 Combine like terms: 10 + 2 = 12 3x = 12 Divide each side by '3'. x = 4 Simplifying x = 4
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