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Simplifying 3x + 2(2x + -2) = 2(2x + 2) Reorder the terms: 3x + 2(-2 + 2x) = 2(2x + 2) 3x + (-2 * 2 + 2x * 2) = 2(2x + 2) 3x + (-4 + 4x) = 2(2x + 2) Reorder the terms: -4 + 3x + 4x = 2(2x + 2) Combine like terms: 3x + 4x = 7x -4 + 7x = 2(2x + 2) Reorder the terms: -4 + 7x = 2(2 + 2x) -4 + 7x = (2 * 2 + 2x * 2) -4 + 7x = (4 + 4x) Solving -4 + 7x = 4 + 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. -4 + 7x + -4x = 4 + 4x + -4x Combine like terms: 7x + -4x = 3x -4 + 3x = 4 + 4x + -4x Combine like terms: 4x + -4x = 0 -4 + 3x = 4 + 0 -4 + 3x = 4 Add '4' to each side of the equation. -4 + 4 + 3x = 4 + 4 Combine like terms: -4 + 4 = 0 0 + 3x = 4 + 4 3x = 4 + 4 Combine like terms: 4 + 4 = 8 3x = 8 Divide each side by '3'. x = 2.666666667 Simplifying x = 2.666666667
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