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Simplifying 3x + 2 = 2(x + 4) Reorder the terms: 2 + 3x = 2(x + 4) Reorder the terms: 2 + 3x = 2(4 + x) 2 + 3x = (4 * 2 + x * 2) 2 + 3x = (8 + 2x) Solving 2 + 3x = 8 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 2 + 3x + -2x = 8 + 2x + -2x Combine like terms: 3x + -2x = 1x 2 + 1x = 8 + 2x + -2x Combine like terms: 2x + -2x = 0 2 + 1x = 8 + 0 2 + 1x = 8 Add '-2' to each side of the equation. 2 + -2 + 1x = 8 + -2 Combine like terms: 2 + -2 = 0 0 + 1x = 8 + -2 1x = 8 + -2 Combine like terms: 8 + -2 = 6 1x = 6 Divide each side by '1'. x = 6 Simplifying x = 6
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