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Simplifying 4(5x + 3) + 2 = 8x + 62 Reorder the terms: 4(3 + 5x) + 2 = 8x + 62 (3 * 4 + 5x * 4) + 2 = 8x + 62 (12 + 20x) + 2 = 8x + 62 Reorder the terms: 12 + 2 + 20x = 8x + 62 Combine like terms: 12 + 2 = 14 14 + 20x = 8x + 62 Reorder the terms: 14 + 20x = 62 + 8x Solving 14 + 20x = 62 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 14 + 20x + -8x = 62 + 8x + -8x Combine like terms: 20x + -8x = 12x 14 + 12x = 62 + 8x + -8x Combine like terms: 8x + -8x = 0 14 + 12x = 62 + 0 14 + 12x = 62 Add '-14' to each side of the equation. 14 + -14 + 12x = 62 + -14 Combine like terms: 14 + -14 = 0 0 + 12x = 62 + -14 12x = 62 + -14 Combine like terms: 62 + -14 = 48 12x = 48 Divide each side by '12'. x = 4 Simplifying x = 4
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