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Simplifying 4X + 1 + -2X = 2X + 6 + 6X + -11 Reorder the terms: 1 + 4X + -2X = 2X + 6 + 6X + -11 Combine like terms: 4X + -2X = 2X 1 + 2X = 2X + 6 + 6X + -11 Reorder the terms: 1 + 2X = 6 + -11 + 2X + 6X Combine like terms: 6 + -11 = -5 1 + 2X = -5 + 2X + 6X Combine like terms: 2X + 6X = 8X 1 + 2X = -5 + 8X Solving 1 + 2X = -5 + 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. 1 + 2X + -8X = -5 + 8X + -8X Combine like terms: 2X + -8X = -6X 1 + -6X = -5 + 8X + -8X Combine like terms: 8X + -8X = 0 1 + -6X = -5 + 0 1 + -6X = -5 Add '-1' to each side of the equation. 1 + -1 + -6X = -5 + -1 Combine like terms: 1 + -1 = 0 0 + -6X = -5 + -1 -6X = -5 + -1 Combine like terms: -5 + -1 = -6 -6X = -6 Divide each side by '-6'. X = 1 Simplifying X = 1
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