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Simplifying 7(x + 3) = 3(x + 15) Reorder the terms: 7(3 + x) = 3(x + 15) (3 * 7 + x * 7) = 3(x + 15) (21 + 7x) = 3(x + 15) Reorder the terms: 21 + 7x = 3(15 + x) 21 + 7x = (15 * 3 + x * 3) 21 + 7x = (45 + 3x) Solving 21 + 7x = 45 + 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. 21 + 7x + -3x = 45 + 3x + -3x Combine like terms: 7x + -3x = 4x 21 + 4x = 45 + 3x + -3x Combine like terms: 3x + -3x = 0 21 + 4x = 45 + 0 21 + 4x = 45 Add '-21' to each side of the equation. 21 + -21 + 4x = 45 + -21 Combine like terms: 21 + -21 = 0 0 + 4x = 45 + -21 4x = 45 + -21 Combine like terms: 45 + -21 = 24 4x = 24 Divide each side by '4'. x = 6 Simplifying x = 6
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