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Simplifying (5x + -2) + -1(6 + -2x) = x + -9 + 5x Reorder the terms: (-2 + 5x) + -1(6 + -2x) = x + -9 + 5x Remove parenthesis around (-2 + 5x) -2 + 5x + -1(6 + -2x) = x + -9 + 5x -2 + 5x + (6 * -1 + -2x * -1) = x + -9 + 5x -2 + 5x + (-6 + 2x) = x + -9 + 5x Reorder the terms: -2 + -6 + 5x + 2x = x + -9 + 5x Combine like terms: -2 + -6 = -8 -8 + 5x + 2x = x + -9 + 5x Combine like terms: 5x + 2x = 7x -8 + 7x = x + -9 + 5x Reorder the terms: -8 + 7x = -9 + x + 5x Combine like terms: x + 5x = 6x -8 + 7x = -9 + 6x Solving -8 + 7x = -9 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -8 + 7x + -6x = -9 + 6x + -6x Combine like terms: 7x + -6x = 1x -8 + 1x = -9 + 6x + -6x Combine like terms: 6x + -6x = 0 -8 + 1x = -9 + 0 -8 + 1x = -9 Add '8' to each side of the equation. -8 + 8 + 1x = -9 + 8 Combine like terms: -8 + 8 = 0 0 + 1x = -9 + 8 1x = -9 + 8 Combine like terms: -9 + 8 = -1 1x = -1 Divide each side by '1'. x = -1 Simplifying x = -1
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