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Simplifying 3x + 7b + -2 + 11x + -1x + -3b + 8 = 0 Reorder the terms: -2 + 8 + 7b + -3b + 3x + 11x + -1x = 0 Combine like terms: -2 + 8 = 6 6 + 7b + -3b + 3x + 11x + -1x = 0 Combine like terms: 7b + -3b = 4b 6 + 4b + 3x + 11x + -1x = 0 Combine like terms: 3x + 11x = 14x 6 + 4b + 14x + -1x = 0 Combine like terms: 14x + -1x = 13x 6 + 4b + 13x = 0 Solving 6 + 4b + 13x = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + 4b + -6 + 13x = 0 + -6 Reorder the terms: 6 + -6 + 4b + 13x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 4b + 13x = 0 + -6 4b + 13x = 0 + -6 Combine like terms: 0 + -6 = -6 4b + 13x = -6 Add '-13x' to each side of the equation. 4b + 13x + -13x = -6 + -13x Combine like terms: 13x + -13x = 0 4b + 0 = -6 + -13x 4b = -6 + -13x Divide each side by '4'. b = -1.5 + -3.25x Simplifying b = -1.5 + -3.25x
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