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Simplifying (11x + -6) + -5(2b + 1) = -3 Reorder the terms: (-6 + 11x) + -5(2b + 1) = -3 Remove parenthesis around (-6 + 11x) -6 + 11x + -5(2b + 1) = -3 Reorder the terms: -6 + 11x + -5(1 + 2b) = -3 -6 + 11x + (1 * -5 + 2b * -5) = -3 -6 + 11x + (-5 + -10b) = -3 Reorder the terms: -6 + -5 + -10b + 11x = -3 Combine like terms: -6 + -5 = -11 -11 + -10b + 11x = -3 Solving -11 + -10b + 11x = -3 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '11' to each side of the equation. -11 + -10b + 11 + 11x = -3 + 11 Reorder the terms: -11 + 11 + -10b + 11x = -3 + 11 Combine like terms: -11 + 11 = 0 0 + -10b + 11x = -3 + 11 -10b + 11x = -3 + 11 Combine like terms: -3 + 11 = 8 -10b + 11x = 8 Add '-11x' to each side of the equation. -10b + 11x + -11x = 8 + -11x Combine like terms: 11x + -11x = 0 -10b + 0 = 8 + -11x -10b = 8 + -11x Divide each side by '-10'. b = -0.8 + 1.1x Simplifying b = -0.8 + 1.1x
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