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