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Simplifying 2x + -1(-5a + 7x) = 8x + (3x + 7a) + -2a 2x + (-5a * -1 + 7x * -1) = 8x + (3x + 7a) + -2a 2x + (5a + -7x) = 8x + (3x + 7a) + -2a Reorder the terms: 5a + 2x + -7x = 8x + (3x + 7a) + -2a Combine like terms: 2x + -7x = -5x 5a + -5x = 8x + (3x + 7a) + -2a Reorder the terms: 5a + -5x = 8x + (7a + 3x) + -2a Remove parenthesis around (7a + 3x) 5a + -5x = 8x + 7a + 3x + -2a Reorder the terms: 5a + -5x = 7a + -2a + 8x + 3x Combine like terms: 7a + -2a = 5a 5a + -5x = 5a + 8x + 3x Combine like terms: 8x + 3x = 11x 5a + -5x = 5a + 11x Add '-5a' to each side of the equation. 5a + -5a + -5x = 5a + -5a + 11x Combine like terms: 5a + -5a = 0 0 + -5x = 5a + -5a + 11x -5x = 5a + -5a + 11x Combine like terms: 5a + -5a = 0 -5x = 0 + 11x -5x = 11x Solving -5x = 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. -5x + -11x = 11x + -11x Combine like terms: -5x + -11x = -16x -16x = 11x + -11x Combine like terms: 11x + -11x = 0 -16x = 0 Divide each side by '-16'. x = 0 Simplifying x = 0
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