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Simplifying 5x = 3(x + 4) + 2 Reorder the terms: 5x = 3(4 + x) + 2 5x = (4 * 3 + x * 3) + 2 5x = (12 + 3x) + 2 Reorder the terms: 5x = 12 + 2 + 3x Combine like terms: 12 + 2 = 14 5x = 14 + 3x Solving 5x = 14 + 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. 5x + -3x = 14 + 3x + -3x Combine like terms: 5x + -3x = 2x 2x = 14 + 3x + -3x Combine like terms: 3x + -3x = 0 2x = 14 + 0 2x = 14 Divide each side by '2'. x = 7 Simplifying x = 7
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