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Simplifying x + 2 = 3(2x + 4) Reorder the terms: 2 + x = 3(2x + 4) Reorder the terms: 2 + x = 3(4 + 2x) 2 + x = (4 * 3 + 2x * 3) 2 + x = (12 + 6x) Solving 2 + x = 12 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 2 + x + -6x = 12 + 6x + -6x Combine like terms: x + -6x = -5x 2 + -5x = 12 + 6x + -6x Combine like terms: 6x + -6x = 0 2 + -5x = 12 + 0 2 + -5x = 12 Add '-2' to each side of the equation. 2 + -2 + -5x = 12 + -2 Combine like terms: 2 + -2 = 0 0 + -5x = 12 + -2 -5x = 12 + -2 Combine like terms: 12 + -2 = 10 -5x = 10 Divide each side by '-5'. x = -2 Simplifying x = -2
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