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Simplifying 4(3x + 5) + 2 = 10x + 2 Reorder the terms: 4(5 + 3x) + 2 = 10x + 2 (5 * 4 + 3x * 4) + 2 = 10x + 2 (20 + 12x) + 2 = 10x + 2 Reorder the terms: 20 + 2 + 12x = 10x + 2 Combine like terms: 20 + 2 = 22 22 + 12x = 10x + 2 Reorder the terms: 22 + 12x = 2 + 10x Solving 22 + 12x = 2 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 22 + 12x + -10x = 2 + 10x + -10x Combine like terms: 12x + -10x = 2x 22 + 2x = 2 + 10x + -10x Combine like terms: 10x + -10x = 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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