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Simplifying 5b + -7x + 12 + 9x + -3b = 0 Reorder the terms: 12 + 5b + -3b + -7x + 9x = 0 Combine like terms: 5b + -3b = 2b 12 + 2b + -7x + 9x = 0 Combine like terms: -7x + 9x = 2x 12 + 2b + 2x = 0 Solving 12 + 2b + 2x = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + 2b + -12 + 2x = 0 + -12 Reorder the terms: 12 + -12 + 2b + 2x = 0 + -12 Combine like terms: 12 + -12 = 0 0 + 2b + 2x = 0 + -12 2b + 2x = 0 + -12 Combine like terms: 0 + -12 = -12 2b + 2x = -12 Add '-2x' to each side of the equation. 2b + 2x + -2x = -12 + -2x Combine like terms: 2x + -2x = 0 2b + 0 = -12 + -2x 2b = -12 + -2x Divide each side by '2'. b = -6 + -1x Simplifying b = -6 + -1x
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