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Simplifying 2(4x + -2) = 3x + 6 Reorder the terms: 2(-2 + 4x) = 3x + 6 (-2 * 2 + 4x * 2) = 3x + 6 (-4 + 8x) = 3x + 6 Reorder the terms: -4 + 8x = 6 + 3x Solving -4 + 8x = 6 + 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. -4 + 8x + -3x = 6 + 3x + -3x Combine like terms: 8x + -3x = 5x -4 + 5x = 6 + 3x + -3x Combine like terms: 3x + -3x = 0 -4 + 5x = 6 + 0 -4 + 5x = 6 Add '4' to each side of the equation. -4 + 4 + 5x = 6 + 4 Combine like terms: -4 + 4 = 0 0 + 5x = 6 + 4 5x = 6 + 4 Combine like terms: 6 + 4 = 10 5x = 10 Divide each side by '5'. x = 2 Simplifying x = 2
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