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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 = 5x -5a + -5x = 5a + 5x Solving -5a + -5x = 5a + 5x Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5a' to each side of the equation. -5a + -5a + -5x = 5a + -5a + 5x Combine like terms: -5a + -5a = -10a -10a + -5x = 5a + -5a + 5x Combine like terms: 5a + -5a = 0 -10a + -5x = 0 + 5x -10a + -5x = 5x Add '5x' to each side of the equation. -10a + -5x + 5x = 5x + 5x Combine like terms: -5x + 5x = 0 -10a + 0 = 5x + 5x -10a = 5x + 5x Combine like terms: 5x + 5x = 10x -10a = 10x Divide each side by '-10'. a = -1x Simplifying a = -1x
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