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Simplifying 5(x + 4) + 2 = 10 + 2 Reorder the terms: 5(4 + x) + 2 = 10 + 2 (4 * 5 + x * 5) + 2 = 10 + 2 (20 + 5x) + 2 = 10 + 2 Reorder the terms: 20 + 2 + 5x = 10 + 2 Combine like terms: 20 + 2 = 22 22 + 5x = 10 + 2 Combine like terms: 10 + 2 = 12 22 + 5x = 12 Solving 22 + 5x = 12 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-22' to each side of the equation. 22 + -22 + 5x = 12 + -22 Combine like terms: 22 + -22 = 0 0 + 5x = 12 + -22 5x = 12 + -22 Combine like terms: 12 + -22 = -10 5x = -10 Divide each side by '5'. x = -2 Simplifying x = -2
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