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Simplifying 65 + x = a(50 + x + 75) Reorder the terms: 65 + x = a(50 + 75 + x) Combine like terms: 50 + 75 = 125 65 + x = a(125 + x) 65 + x = (125 * a + x * a) 65 + x = (125a + ax) Solving 65 + x = 125a + ax Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1ax' to each side of the equation. 65 + -1ax + x = 125a + ax + -1ax Combine like terms: ax + -1ax = 0 65 + -1ax + x = 125a + 0 65 + -1ax + x = 125a Add '-65' to each side of the equation. 65 + -1ax + -65 + x = -65 + 125a Reorder the terms: 65 + -65 + -1ax + x = -65 + 125a Combine like terms: 65 + -65 = 0 0 + -1ax + x = -65 + 125a -1ax + x = -65 + 125a Reorder the terms: 65 + -125a + -1ax + x = -65 + 125a + 65 + -125a Reorder the terms: 65 + -125a + -1ax + x = -65 + 65 + 125a + -125a Combine like terms: -65 + 65 = 0 65 + -125a + -1ax + x = 0 + 125a + -125a 65 + -125a + -1ax + x = 125a + -125a Combine like terms: 125a + -125a = 0 65 + -125a + -1ax + x = 0 The solution to this equation could not be determined.
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