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Simplifying a(3x + -4) + b(5x + -7) = 2a + 3b Reorder the terms: a(-4 + 3x) + b(5x + -7) = 2a + 3b (-4 * a + 3x * a) + b(5x + -7) = 2a + 3b (-4a + 3ax) + b(5x + -7) = 2a + 3b Reorder the terms: -4a + 3ax + b(-7 + 5x) = 2a + 3b -4a + 3ax + (-7 * b + 5x * b) = 2a + 3b -4a + 3ax + (-7b + 5bx) = 2a + 3b Solving -4a + 3ax + -7b + 5bx = 2a + 3b Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2a' to each side of the equation. -4a + 3ax + -7b + -2a + 5bx = 2a + -2a + 3b Reorder the terms: -4a + -2a + 3ax + -7b + 5bx = 2a + -2a + 3b Combine like terms: -4a + -2a = -6a -6a + 3ax + -7b + 5bx = 2a + -2a + 3b Combine like terms: 2a + -2a = 0 -6a + 3ax + -7b + 5bx = 0 + 3b -6a + 3ax + -7b + 5bx = 3b Add '7b' to each side of the equation. -6a + 3ax + -7b + 7b + 5bx = 3b + 7b Combine like terms: -7b + 7b = 0 -6a + 3ax + 0 + 5bx = 3b + 7b -6a + 3ax + 5bx = 3b + 7b Combine like terms: 3b + 7b = 10b -6a + 3ax + 5bx = 10b Add '-5bx' to each side of the equation. -6a + 3ax + 5bx + -5bx = 10b + -5bx Combine like terms: 5bx + -5bx = 0 -6a + 3ax + 0 = 10b + -5bx -6a + 3ax = 10b + -5bx Reorder the terms: -6a + 3ax + -10b + 5bx = 10b + -10b + -5bx + 5bx Combine like terms: 10b + -10b = 0 -6a + 3ax + -10b + 5bx = 0 + -5bx + 5bx -6a + 3ax + -10b + 5bx = -5bx + 5bx Combine like terms: -5bx + 5bx = 0 -6a + 3ax + -10b + 5bx = 0 The solution to this equation could not be determined.
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