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Simplifying 3a + [2x + -1(3a + -2b)] + 5b = 0 3a + [2x + (3a * -1 + -2b * -1)] + 5b = 0 3a + [2x + (-3a + 2b)] + 5b = 0 Reorder the terms: 3a + [-3a + 2b + 2x] + 5b = 0 Remove brackets around [-3a + 2b + 2x] 3a + -3a + 2b + 2x + 5b = 0 Reorder the terms: 3a + -3a + 2b + 5b + 2x = 0 Combine like terms: 3a + -3a = 0 0 + 2b + 5b + 2x = 0 2b + 5b + 2x = 0 Combine like terms: 2b + 5b = 7b 7b + 2x = 0 Solving 7b + 2x = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-2x' to each side of the equation. 7b + 2x + -2x = 0 + -2x Combine like terms: 2x + -2x = 0 7b + 0 = 0 + -2x 7b = 0 + -2x Remove the zero: 7b = -2x Divide each side by '7'. b = -0.2857142857x Simplifying b = -0.2857142857x
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