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Simplifying 4(2x + -2) = (3x + 2) Reorder the terms: 4(-2 + 2x) = (3x + 2) (-2 * 4 + 2x * 4) = (3x + 2) (-8 + 8x) = (3x + 2) Reorder the terms: -8 + 8x = (2 + 3x) Remove parenthesis around (2 + 3x) -8 + 8x = 2 + 3x Solving -8 + 8x = 2 + 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. -8 + 8x + -3x = 2 + 3x + -3x Combine like terms: 8x + -3x = 5x -8 + 5x = 2 + 3x + -3x Combine like terms: 3x + -3x = 0 -8 + 5x = 2 + 0 -8 + 5x = 2 Add '8' to each side of the equation. -8 + 8 + 5x = 2 + 8 Combine like terms: -8 + 8 = 0 0 + 5x = 2 + 8 5x = 2 + 8 Combine like terms: 2 + 8 = 10 5x = 10 Divide each side by '5'. x = 2 Simplifying x = 2
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