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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 + 5x + -2x = -1x + -9 + 5x Combine like terms: -2 + -6 = -8 -8 + 5x + -2x = -1x + -9 + 5x Combine like terms: 5x + -2x = 3x -8 + 3x = -1x + -9 + 5x Reorder the terms: -8 + 3x = -9 + -1x + 5x Combine like terms: -1x + 5x = 4x -8 + 3x = -9 + 4x Solving -8 + 3x = -9 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -8 + 3x + -4x = -9 + 4x + -4x Combine like terms: 3x + -4x = -1x -8 + -1x = -9 + 4x + -4x Combine like terms: 4x + -4x = 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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