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Simplifying 11X + -9 + 2X + -5 = 10X + -2 + 2X Reorder the terms: -9 + -5 + 11X + 2X = 10X + -2 + 2X Combine like terms: -9 + -5 = -14 -14 + 11X + 2X = 10X + -2 + 2X Combine like terms: 11X + 2X = 13X -14 + 13X = 10X + -2 + 2X Reorder the terms: -14 + 13X = -2 + 10X + 2X Combine like terms: 10X + 2X = 12X -14 + 13X = -2 + 12X Solving -14 + 13X = -2 + 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. -14 + 13X + -12X = -2 + 12X + -12X Combine like terms: 13X + -12X = 1X -14 + 1X = -2 + 12X + -12X Combine like terms: 12X + -12X = 0 -14 + 1X = -2 + 0 -14 + 1X = -2 Add '14' to each side of the equation. -14 + 14 + 1X = -2 + 14 Combine like terms: -14 + 14 = 0 0 + 1X = -2 + 14 1X = -2 + 14 Combine like terms: -2 + 14 = 12 1X = 12 Divide each side by '1'. X = 12 Simplifying X = 12
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