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Simplifying 3(4x + 7) = 4x + 37 Reorder the terms: 3(7 + 4x) = 4x + 37 (7 * 3 + 4x * 3) = 4x + 37 (21 + 12x) = 4x + 37 Reorder the terms: 21 + 12x = 37 + 4x Solving 21 + 12x = 37 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 21 + 12x + -4x = 37 + 4x + -4x Combine like terms: 12x + -4x = 8x 21 + 8x = 37 + 4x + -4x Combine like terms: 4x + -4x = 0 21 + 8x = 37 + 0 21 + 8x = 37 Add '-21' to each side of the equation. 21 + -21 + 8x = 37 + -21 Combine like terms: 21 + -21 = 0 0 + 8x = 37 + -21 8x = 37 + -21 Combine like terms: 37 + -21 = 16 8x = 16 Divide each side by '8'. x = 2 Simplifying x = 2
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