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Simplifying 9(x + 5) = 7(x + -1) Reorder the terms: 9(5 + x) = 7(x + -1) (5 * 9 + x * 9) = 7(x + -1) (45 + 9x) = 7(x + -1) Reorder the terms: 45 + 9x = 7(-1 + x) 45 + 9x = (-1 * 7 + x * 7) 45 + 9x = (-7 + 7x) Solving 45 + 9x = -7 + 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. 45 + 9x + -7x = -7 + 7x + -7x Combine like terms: 9x + -7x = 2x 45 + 2x = -7 + 7x + -7x Combine like terms: 7x + -7x = 0 45 + 2x = -7 + 0 45 + 2x = -7 Add '-45' to each side of the equation. 45 + -45 + 2x = -7 + -45 Combine like terms: 45 + -45 = 0 0 + 2x = -7 + -45 2x = -7 + -45 Combine like terms: -7 + -45 = -52 2x = -52 Divide each side by '2'. x = -26 Simplifying x = -26
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