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Simplifying j + -5(x + 7) = -5x + 35 Reorder the terms: j + -5(7 + x) = -5x + 35 j + (7 * -5 + x * -5) = -5x + 35 j + (-35 + -5x) = -5x + 35 Reorder the terms: -35 + j + -5x = -5x + 35 Reorder the terms: -35 + j + -5x = 35 + -5x Add '5x' to each side of the equation. -35 + j + -5x + 5x = 35 + -5x + 5x Combine like terms: -5x + 5x = 0 -35 + j + 0 = 35 + -5x + 5x -35 + j = 35 + -5x + 5x Combine like terms: -5x + 5x = 0 -35 + j = 35 + 0 -35 + j = 35 Solving -35 + j = 35 Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '35' to each side of the equation. -35 + 35 + j = 35 + 35 Combine like terms: -35 + 35 = 0 0 + j = 35 + 35 j = 35 + 35 Combine like terms: 35 + 35 = 70 j = 70 Simplifying j = 70
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