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Simplifying 5j + -9 = 3j + 5 + 2x Reorder the terms: -9 + 5j = 3j + 5 + 2x Reorder the terms: -9 + 5j = 5 + 3j + 2x Solving -9 + 5j = 5 + 3j + 2x Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-3j' to each side of the equation. -9 + 5j + -3j = 5 + 3j + -3j + 2x Combine like terms: 5j + -3j = 2j -9 + 2j = 5 + 3j + -3j + 2x Combine like terms: 3j + -3j = 0 -9 + 2j = 5 + 0 + 2x -9 + 2j = 5 + 2x Add '9' to each side of the equation. -9 + 9 + 2j = 5 + 9 + 2x Combine like terms: -9 + 9 = 0 0 + 2j = 5 + 9 + 2x 2j = 5 + 9 + 2x Combine like terms: 5 + 9 = 14 2j = 14 + 2x Divide each side by '2'. j = 7 + x Simplifying j = 7 + x
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