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Simplifying 5(x + 4) + 2 = 3x + 2 Reorder the terms: 5(4 + x) + 2 = 3x + 2 (4 * 5 + x * 5) + 2 = 3x + 2 (20 + 5x) + 2 = 3x + 2 Reorder the terms: 20 + 2 + 5x = 3x + 2 Combine like terms: 20 + 2 = 22 22 + 5x = 3x + 2 Reorder the terms: 22 + 5x = 2 + 3x Solving 22 + 5x = 2 + 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. 22 + 5x + -3x = 2 + 3x + -3x Combine like terms: 5x + -3x = 2x 22 + 2x = 2 + 3x + -3x Combine like terms: 3x + -3x = 0 22 + 2x = 2 + 0 22 + 2x = 2 Add '-22' to each side of the equation. 22 + -22 + 2x = 2 + -22 Combine like terms: 22 + -22 = 0 0 + 2x = 2 + -22 2x = 2 + -22 Combine like terms: 2 + -22 = -20 2x = -20 Divide each side by '2'. x = -10 Simplifying x = -10
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