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Simplifying 7X + 39 = 6(5X + -5) Reorder the terms: 39 + 7X = 6(5X + -5) Reorder the terms: 39 + 7X = 6(-5 + 5X) 39 + 7X = (-5 * 6 + 5X * 6) 39 + 7X = (-30 + 30X) Solving 39 + 7X = -30 + 30X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-30X' to each side of the equation. 39 + 7X + -30X = -30 + 30X + -30X Combine like terms: 7X + -30X = -23X 39 + -23X = -30 + 30X + -30X Combine like terms: 30X + -30X = 0 39 + -23X = -30 + 0 39 + -23X = -30 Add '-39' to each side of the equation. 39 + -39 + -23X = -30 + -39 Combine like terms: 39 + -39 = 0 0 + -23X = -30 + -39 -23X = -30 + -39 Combine like terms: -30 + -39 = -69 -23X = -69 Divide each side by '-23'. X = 3 Simplifying X = 3
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