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Simplifying 7X + 15 = -6(X + -9) Reorder the terms: 15 + 7X = -6(X + -9) Reorder the terms: 15 + 7X = -6(-9 + X) 15 + 7X = (-9 * -6 + X * -6) 15 + 7X = (54 + -6X) Solving 15 + 7X = 54 + -6X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '6X' to each side of the equation. 15 + 7X + 6X = 54 + -6X + 6X Combine like terms: 7X + 6X = 13X 15 + 13X = 54 + -6X + 6X Combine like terms: -6X + 6X = 0 15 + 13X = 54 + 0 15 + 13X = 54 Add '-15' to each side of the equation. 15 + -15 + 13X = 54 + -15 Combine like terms: 15 + -15 = 0 0 + 13X = 54 + -15 13X = 54 + -15 Combine like terms: 54 + -15 = 39 13X = 39 Divide each side by '13'. X = 3 Simplifying X = 3
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