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Simplifying (5x + -2) + -1(6 + -2X) = -1x + -9 + 5x Reorder the terms: (-2 + 5x) + -1(6 + -2X) = -1x + -9 + 5x Remove parenthesis around (-2 + 5x) -2 + 5x + -1(6 + -2X) = -1x + -9 + 5x -2 + 5x + (6 * -1 + -2X * -1) = -1x + -9 + 5x -2 + 5x + (-6 + 2X) = -1x + -9 + 5x Reorder the terms: -2 + -6 + 2X + 5x = -1x + -9 + 5x Combine like terms: -2 + -6 = -8 -8 + 2X + 5x = -1x + -9 + 5x Reorder the terms: -8 + 2X + 5x = -9 + -1x + 5x Combine like terms: -1x + 5x = 4x -8 + 2X + 5x = -9 + 4x Solving -8 + 2X + 5x = -9 + 4x Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 2X + 8 + 5x = -9 + 8 + 4x Reorder the terms: -8 + 8 + 2X + 5x = -9 + 8 + 4x Combine like terms: -8 + 8 = 0 0 + 2X + 5x = -9 + 8 + 4x 2X + 5x = -9 + 8 + 4x Combine like terms: -9 + 8 = -1 2X + 5x = -1 + 4x Add '-5x' to each side of the equation. 2X + 5x + -5x = -1 + 4x + -5x Combine like terms: 5x + -5x = 0 2X + 0 = -1 + 4x + -5x 2X = -1 + 4x + -5x Combine like terms: 4x + -5x = -1x 2X = -1 + -1x Divide each side by '2'. X = -0.5 + -0.5x Simplifying X = -0.5 + -0.5x
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