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Simplifying 7(7 + 6x + -1) = 9(9 + x + 3) Reorder the terms: 7(7 + -1 + 6x) = 9(9 + x + 3) Combine like terms: 7 + -1 = 6 7(6 + 6x) = 9(9 + x + 3) (6 * 7 + 6x * 7) = 9(9 + x + 3) (42 + 42x) = 9(9 + x + 3) Reorder the terms: 42 + 42x = 9(9 + 3 + x) Combine like terms: 9 + 3 = 12 42 + 42x = 9(12 + x) 42 + 42x = (12 * 9 + x * 9) 42 + 42x = (108 + 9x) Solving 42 + 42x = 108 + 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. 42 + 42x + -9x = 108 + 9x + -9x Combine like terms: 42x + -9x = 33x 42 + 33x = 108 + 9x + -9x Combine like terms: 9x + -9x = 0 42 + 33x = 108 + 0 42 + 33x = 108 Add '-42' to each side of the equation. 42 + -42 + 33x = 108 + -42 Combine like terms: 42 + -42 = 0 0 + 33x = 108 + -42 33x = 108 + -42 Combine like terms: 108 + -42 = 66 33x = 66 Divide each side by '33'. x = 2 Simplifying x = 2
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