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Simplifying -5(x + -1b) + -1(2a + -4x) = a + b Reorder the terms: -5(-1b + x) + -1(2a + -4x) = a + b (-1b * -5 + x * -5) + -1(2a + -4x) = a + b (5b + -5x) + -1(2a + -4x) = a + b 5b + -5x + (2a * -1 + -4x * -1) = a + b 5b + -5x + (-2a + 4x) = a + b Reorder the terms: -2a + 5b + -5x + 4x = a + b Combine like terms: -5x + 4x = -1x -2a + 5b + -1x = a + b Solving -2a + 5b + -1x = 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. -2a + 5b + -1a + -1x = a + -1a + b Reorder the terms: -2a + -1a + 5b + -1x = a + -1a + b Combine like terms: -2a + -1a = -3a -3a + 5b + -1x = a + -1a + b Combine like terms: a + -1a = 0 -3a + 5b + -1x = 0 + b -3a + 5b + -1x = b Add '-5b' to each side of the equation. -3a + 5b + -5b + -1x = b + -5b Combine like terms: 5b + -5b = 0 -3a + 0 + -1x = b + -5b -3a + -1x = b + -5b Combine like terms: b + -5b = -4b -3a + -1x = -4b Add 'x' to each side of the equation. -3a + -1x + x = -4b + x Combine like terms: -1x + x = 0 -3a + 0 = -4b + x -3a = -4b + x Divide each side by '-3'. a = 1.333333333b + -0.3333333333x Simplifying a = 1.333333333b + -0.3333333333x
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