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Simplifying 7(x + 2) = 2(x + 27) Reorder the terms: 7(2 + x) = 2(x + 27) (2 * 7 + x * 7) = 2(x + 27) (14 + 7x) = 2(x + 27) Reorder the terms: 14 + 7x = 2(27 + x) 14 + 7x = (27 * 2 + x * 2) 14 + 7x = (54 + 2x) Solving 14 + 7x = 54 + 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. 14 + 7x + -2x = 54 + 2x + -2x Combine like terms: 7x + -2x = 5x 14 + 5x = 54 + 2x + -2x Combine like terms: 2x + -2x = 0 14 + 5x = 54 + 0 14 + 5x = 54 Add '-14' to each side of the equation. 14 + -14 + 5x = 54 + -14 Combine like terms: 14 + -14 = 0 0 + 5x = 54 + -14 5x = 54 + -14 Combine like terms: 54 + -14 = 40 5x = 40 Divide each side by '5'. x = 8 Simplifying x = 8
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