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Simplifying 11X + -10X + -27 = 8X + 10 Reorder the terms: -27 + 11X + -10X = 8X + 10 Combine like terms: 11X + -10X = 1X -27 + 1X = 8X + 10 Reorder the terms: -27 + 1X = 10 + 8X Solving -27 + 1X = 10 + 8X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-8X' to each side of the equation. -27 + 1X + -8X = 10 + 8X + -8X Combine like terms: 1X + -8X = -7X -27 + -7X = 10 + 8X + -8X Combine like terms: 8X + -8X = 0 -27 + -7X = 10 + 0 -27 + -7X = 10 Add '27' to each side of the equation. -27 + 27 + -7X = 10 + 27 Combine like terms: -27 + 27 = 0 0 + -7X = 10 + 27 -7X = 10 + 27 Combine like terms: 10 + 27 = 37 -7X = 37 Divide each side by '-7'. X = -5.285714286 Simplifying X = -5.285714286
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