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Simplifying 4X + 14 + 9X + -15 = 12X + 15 + -1 Reorder the terms: 14 + -15 + 4X + 9X = 12X + 15 + -1 Combine like terms: 14 + -15 = -1 -1 + 4X + 9X = 12X + 15 + -1 Combine like terms: 4X + 9X = 13X -1 + 13X = 12X + 15 + -1 Reorder the terms: -1 + 13X = 15 + -1 + 12X Combine like terms: 15 + -1 = 14 -1 + 13X = 14 + 12X Solving -1 + 13X = 14 + 12X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-12X' to each side of the equation. -1 + 13X + -12X = 14 + 12X + -12X Combine like terms: 13X + -12X = 1X -1 + 1X = 14 + 12X + -12X Combine like terms: 12X + -12X = 0 -1 + 1X = 14 + 0 -1 + 1X = 14 Add '1' to each side of the equation. -1 + 1 + 1X = 14 + 1 Combine like terms: -1 + 1 = 0 0 + 1X = 14 + 1 1X = 14 + 1 Combine like terms: 14 + 1 = 15 1X = 15 Divide each side by '1'. X = 15 Simplifying X = 15
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