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Simplifying ax + 5bx = 7a + -1c + 2ax Reorder the terms: ax + 5bx = 7a + 2ax + -1c Solving ax + 5bx = 7a + 2ax + -1c Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-7a' to each side of the equation. ax + -7a + 5bx = 7a + 2ax + -7a + -1c Reorder the terms: -7a + ax + 5bx = 7a + 2ax + -7a + -1c Reorder the terms: -7a + ax + 5bx = 7a + -7a + 2ax + -1c Combine like terms: 7a + -7a = 0 -7a + ax + 5bx = 0 + 2ax + -1c -7a + ax + 5bx = 2ax + -1c Add '-2ax' to each side of the equation. -7a + ax + -2ax + 5bx = 2ax + -2ax + -1c Combine like terms: ax + -2ax = -1ax -7a + -1ax + 5bx = 2ax + -2ax + -1c Combine like terms: 2ax + -2ax = 0 -7a + -1ax + 5bx = 0 + -1c -7a + -1ax + 5bx = -1c Add '-5bx' to each side of the equation. -7a + -1ax + 5bx + -5bx = -5bx + -1c Combine like terms: 5bx + -5bx = 0 -7a + -1ax + 0 = -5bx + -1c -7a + -1ax = -5bx + -1c Reorder the terms: -7a + -1ax + 5bx + c = -5bx + 5bx + -1c + c Combine like terms: -5bx + 5bx = 0 -7a + -1ax + 5bx + c = 0 + -1c + c -7a + -1ax + 5bx + c = -1c + c Combine like terms: -1c + c = 0 -7a + -1ax + 5bx + c = 0 The solution to this equation could not be determined.
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