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Simplifying bx + a = 5a + -1c Reorder the terms: a + bx = 5a + -1c Solving a + bx = 5a + -1c 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. a + -5a + bx = 5a + -5a + -1c Combine like terms: a + -5a = -4a -4a + bx = 5a + -5a + -1c Combine like terms: 5a + -5a = 0 -4a + bx = 0 + -1c -4a + bx = -1c Add '-1bx' to each side of the equation. -4a + bx + -1bx = -1bx + -1c Combine like terms: bx + -1bx = 0 -4a + 0 = -1bx + -1c -4a = -1bx + -1c Divide each side by '-4'. a = 0.25bx + 0.25c Simplifying a = 0.25bx + 0.25c
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