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Simplifying 9(x + 14) = 7(x + 36) Reorder the terms: 9(14 + x) = 7(x + 36) (14 * 9 + x * 9) = 7(x + 36) (126 + 9x) = 7(x + 36) Reorder the terms: 126 + 9x = 7(36 + x) 126 + 9x = (36 * 7 + x * 7) 126 + 9x = (252 + 7x) Solving 126 + 9x = 252 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 126 + 9x + -7x = 252 + 7x + -7x Combine like terms: 9x + -7x = 2x 126 + 2x = 252 + 7x + -7x Combine like terms: 7x + -7x = 0 126 + 2x = 252 + 0 126 + 2x = 252 Add '-126' to each side of the equation. 126 + -126 + 2x = 252 + -126 Combine like terms: 126 + -126 = 0 0 + 2x = 252 + -126 2x = 252 + -126 Combine like terms: 252 + -126 = 126 2x = 126 Divide each side by '2'. x = 63 Simplifying x = 63
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