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Simplifying 2x + -2(2x + 4) = 6 + 3(2 + x) Reorder the terms: 2x + -2(4 + 2x) = 6 + 3(2 + x) 2x + (4 * -2 + 2x * -2) = 6 + 3(2 + x) 2x + (-8 + -4x) = 6 + 3(2 + x) Reorder the terms: -8 + 2x + -4x = 6 + 3(2 + x) Combine like terms: 2x + -4x = -2x -8 + -2x = 6 + 3(2 + x) -8 + -2x = 6 + (2 * 3 + x * 3) -8 + -2x = 6 + (6 + 3x) Combine like terms: 6 + 6 = 12 -8 + -2x = 12 + 3x Solving -8 + -2x = 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. -8 + -2x + -3x = 12 + 3x + -3x Combine like terms: -2x + -3x = -5x -8 + -5x = 12 + 3x + -3x Combine like terms: 3x + -3x = 0 -8 + -5x = 12 + 0 -8 + -5x = 12 Add '8' to each side of the equation. -8 + 8 + -5x = 12 + 8 Combine like terms: -8 + 8 = 0 0 + -5x = 12 + 8 -5x = 12 + 8 Combine like terms: 12 + 8 = 20 -5x = 20 Divide each side by '-5'. x = -4 Simplifying x = -4
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