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Simplifying (5 + x)(2a + -1b) = 15b Multiply (5 + x) * (2a + -1b) (5(2a + -1b) + x(2a + -1b)) = 15b ((2a * 5 + -1b * 5) + x(2a + -1b)) = 15b ((10a + -5b) + x(2a + -1b)) = 15b (10a + -5b + (2a * x + -1b * x)) = 15b (10a + -5b + (2ax + -1bx)) = 15b Reorder the terms: (10a + 2ax + -5b + -1bx) = 15b (10a + 2ax + -5b + -1bx) = 15b Solving 10a + 2ax + -5b + -1bx = 15b Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '5b' to each side of the equation. 10a + 2ax + -5b + 5b + -1bx = 15b + 5b Combine like terms: -5b + 5b = 0 10a + 2ax + 0 + -1bx = 15b + 5b 10a + 2ax + -1bx = 15b + 5b Combine like terms: 15b + 5b = 20b 10a + 2ax + -1bx = 20b Add 'bx' to each side of the equation. 10a + 2ax + -1bx + bx = 20b + bx Combine like terms: -1bx + bx = 0 10a + 2ax + 0 = 20b + bx 10a + 2ax = 20b + bx Reorder the terms: 10a + 2ax + -20b + -1bx = 20b + -20b + bx + -1bx Combine like terms: 20b + -20b = 0 10a + 2ax + -20b + -1bx = 0 + bx + -1bx 10a + 2ax + -20b + -1bx = bx + -1bx Combine like terms: bx + -1bx = 0 10a + 2ax + -20b + -1bx = 0 The solution to this equation could not be determined.
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