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Simplifying 15x + -40 = a(3x + -8) Reorder the terms: -40 + 15x = a(3x + -8) Reorder the terms: -40 + 15x = a(-8 + 3x) -40 + 15x = (-8 * a + 3x * a) -40 + 15x = (-8a + 3ax) Solving -40 + 15x = -8a + 3ax Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3ax' to each side of the equation. -40 + -3ax + 15x = -8a + 3ax + -3ax Combine like terms: 3ax + -3ax = 0 -40 + -3ax + 15x = -8a + 0 -40 + -3ax + 15x = -8a Add '40' to each side of the equation. -40 + -3ax + 40 + 15x = 40 + -8a Reorder the terms: -40 + 40 + -3ax + 15x = 40 + -8a Combine like terms: -40 + 40 = 0 0 + -3ax + 15x = 40 + -8a -3ax + 15x = 40 + -8a Reorder the terms: -40 + 8a + -3ax + 15x = 40 + -8a + -40 + 8a Reorder the terms: -40 + 8a + -3ax + 15x = 40 + -40 + -8a + 8a Combine like terms: 40 + -40 = 0 -40 + 8a + -3ax + 15x = 0 + -8a + 8a -40 + 8a + -3ax + 15x = -8a + 8a Combine like terms: -8a + 8a = 0 -40 + 8a + -3ax + 15x = 0 The solution to this equation could not be determined.
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