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Simplifying 7(x + 2) = 9(x + 5) + -41 Reorder the terms: 7(2 + x) = 9(x + 5) + -41 (2 * 7 + x * 7) = 9(x + 5) + -41 (14 + 7x) = 9(x + 5) + -41 Reorder the terms: 14 + 7x = 9(5 + x) + -41 14 + 7x = (5 * 9 + x * 9) + -41 14 + 7x = (45 + 9x) + -41 Reorder the terms: 14 + 7x = 45 + -41 + 9x Combine like terms: 45 + -41 = 4 14 + 7x = 4 + 9x Solving 14 + 7x = 4 + 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. 14 + 7x + -9x = 4 + 9x + -9x Combine like terms: 7x + -9x = -2x 14 + -2x = 4 + 9x + -9x Combine like terms: 9x + -9x = 0 14 + -2x = 4 + 0 14 + -2x = 4 Add '-14' to each side of the equation. 14 + -14 + -2x = 4 + -14 Combine like terms: 14 + -14 = 0 0 + -2x = 4 + -14 -2x = 4 + -14 Combine like terms: 4 + -14 = -10 -2x = -10 Divide each side by '-2'. x = 5 Simplifying x = 5
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