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Simplifying 7(x + 7) = 9x + 41 Reorder the terms: 7(7 + x) = 9x + 41 (7 * 7 + x * 7) = 9x + 41 (49 + 7x) = 9x + 41 Reorder the terms: 49 + 7x = 41 + 9x Solving 49 + 7x = 41 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 49 + 7x + -9x = 41 + 9x + -9x Combine like terms: 7x + -9x = -2x 49 + -2x = 41 + 9x + -9x Combine like terms: 9x + -9x = 0 49 + -2x = 41 + 0 49 + -2x = 41 Add '-49' to each side of the equation. 49 + -49 + -2x = 41 + -49 Combine like terms: 49 + -49 = 0 0 + -2x = 41 + -49 -2x = 41 + -49 Combine like terms: 41 + -49 = -8 -2x = -8 Divide each side by '-2'. x = 4 Simplifying x = 4
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