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Simplifying 15(5X + -7) = 12(3X + 14) Reorder the terms: 15(-7 + 5X) = 12(3X + 14) (-7 * 15 + 5X * 15) = 12(3X + 14) (-105 + 75X) = 12(3X + 14) Reorder the terms: -105 + 75X = 12(14 + 3X) -105 + 75X = (14 * 12 + 3X * 12) -105 + 75X = (168 + 36X) Solving -105 + 75X = 168 + 36X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-36X' to each side of the equation. -105 + 75X + -36X = 168 + 36X + -36X Combine like terms: 75X + -36X = 39X -105 + 39X = 168 + 36X + -36X Combine like terms: 36X + -36X = 0 -105 + 39X = 168 + 0 -105 + 39X = 168 Add '105' to each side of the equation. -105 + 105 + 39X = 168 + 105 Combine like terms: -105 + 105 = 0 0 + 39X = 168 + 105 39X = 168 + 105 Combine like terms: 168 + 105 = 273 39X = 273 Divide each side by '39'. X = 7 Simplifying X = 7
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