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Simplifying 5(3ax + -8) = a(4x + 7) Reorder the terms: 5(-8 + 3ax) = a(4x + 7) (-8 * 5 + 3ax * 5) = a(4x + 7) (-40 + 15ax) = a(4x + 7) Reorder the terms: -40 + 15ax = a(7 + 4x) -40 + 15ax = (7 * a + 4x * a) -40 + 15ax = (7a + 4ax) Solving -40 + 15ax = 7a + 4ax 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. -40 + -7a + 15ax = 7a + -7a + 4ax Combine like terms: 7a + -7a = 0 -40 + -7a + 15ax = 0 + 4ax -40 + -7a + 15ax = 4ax Add '-4ax' to each side of the equation. -40 + -7a + 15ax + -4ax = 4ax + -4ax Combine like terms: 15ax + -4ax = 11ax -40 + -7a + 11ax = 4ax + -4ax Combine like terms: 4ax + -4ax = 0 -40 + -7a + 11ax = 0 Add '40' to each side of the equation. -40 + -7a + 40 + 11ax = 0 + 40 Reorder the terms: -40 + 40 + -7a + 11ax = 0 + 40 Combine like terms: -40 + 40 = 0 0 + -7a + 11ax = 0 + 40 -7a + 11ax = 0 + 40 Combine like terms: 0 + 40 = 40 -7a + 11ax = 40 Reorder the terms: -40 + -7a + 11ax = 40 + -40 Combine like terms: 40 + -40 = 0 -40 + -7a + 11ax = 0 The solution to this equation could not be determined.
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