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Simplifying -3(x + -1b) + -1(5a + -1x) = a + b Reorder the terms: -3(-1b + x) + -1(5a + -1x) = a + b (-1b * -3 + x * -3) + -1(5a + -1x) = a + b (3b + -3x) + -1(5a + -1x) = a + b 3b + -3x + (5a * -1 + -1x * -1) = a + b 3b + -3x + (-5a + 1x) = a + b Reorder the terms: -5a + 3b + -3x + 1x = a + b Combine like terms: -3x + 1x = -2x -5a + 3b + -2x = a + b Solving -5a + 3b + -2x = a + b Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1a' to each side of the equation. -5a + 3b + -1a + -2x = a + -1a + b Reorder the terms: -5a + -1a + 3b + -2x = a + -1a + b Combine like terms: -5a + -1a = -6a -6a + 3b + -2x = a + -1a + b Combine like terms: a + -1a = 0 -6a + 3b + -2x = 0 + b -6a + 3b + -2x = b Add '-3b' to each side of the equation. -6a + 3b + -3b + -2x = b + -3b Combine like terms: 3b + -3b = 0 -6a + 0 + -2x = b + -3b -6a + -2x = b + -3b Combine like terms: b + -3b = -2b -6a + -2x = -2b Add '2x' to each side of the equation. -6a + -2x + 2x = -2b + 2x Combine like terms: -2x + 2x = 0 -6a + 0 = -2b + 2x -6a = -2b + 2x Divide each side by '-6'. a = 0.3333333333b + -0.3333333333x Simplifying a = 0.3333333333b + -0.3333333333x
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