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Simplifying 7(x + 3) = 2(x + 33) Reorder the terms: 7(3 + x) = 2(x + 33) (3 * 7 + x * 7) = 2(x + 33) (21 + 7x) = 2(x + 33) Reorder the terms: 21 + 7x = 2(33 + x) 21 + 7x = (33 * 2 + x * 2) 21 + 7x = (66 + 2x) Solving 21 + 7x = 66 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 21 + 7x + -2x = 66 + 2x + -2x Combine like terms: 7x + -2x = 5x 21 + 5x = 66 + 2x + -2x Combine like terms: 2x + -2x = 0 21 + 5x = 66 + 0 21 + 5x = 66 Add '-21' to each side of the equation. 21 + -21 + 5x = 66 + -21 Combine like terms: 21 + -21 = 0 0 + 5x = 66 + -21 5x = 66 + -21 Combine like terms: 66 + -21 = 45 5x = 45 Divide each side by '5'. x = 9 Simplifying x = 9
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