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Simplifying 16X + -9X + 27 = 6X + 7X + 35 Reorder the terms: 27 + 16X + -9X = 6X + 7X + 35 Combine like terms: 16X + -9X = 7X 27 + 7X = 6X + 7X + 35 Reorder the terms: 27 + 7X = 35 + 6X + 7X Combine like terms: 6X + 7X = 13X 27 + 7X = 35 + 13X Solving 27 + 7X = 35 + 13X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-13X' to each side of the equation. 27 + 7X + -13X = 35 + 13X + -13X Combine like terms: 7X + -13X = -6X 27 + -6X = 35 + 13X + -13X Combine like terms: 13X + -13X = 0 27 + -6X = 35 + 0 27 + -6X = 35 Add '-27' to each side of the equation. 27 + -27 + -6X = 35 + -27 Combine like terms: 27 + -27 = 0 0 + -6X = 35 + -27 -6X = 35 + -27 Combine like terms: 35 + -27 = 8 -6X = 8 Divide each side by '-6'. X = -1.333333333 Simplifying X = -1.333333333
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