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Simplifying 7(3 + -2X) = 15(1 + -1X) (3 * 7 + -2X * 7) = 15(1 + -1X) (21 + -14X) = 15(1 + -1X) 21 + -14X = (1 * 15 + -1X * 15) 21 + -14X = (15 + -15X) Solving 21 + -14X = 15 + -15X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '15X' to each side of the equation. 21 + -14X + 15X = 15 + -15X + 15X Combine like terms: -14X + 15X = 1X 21 + 1X = 15 + -15X + 15X Combine like terms: -15X + 15X = 0 21 + 1X = 15 + 0 21 + 1X = 15 Add '-21' to each side of the equation. 21 + -21 + 1X = 15 + -21 Combine like terms: 21 + -21 = 0 0 + 1X = 15 + -21 1X = 15 + -21 Combine like terms: 15 + -21 = -6 1X = -6 Divide each side by '1'. X = -6 Simplifying X = -6
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