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Simplifying 81 + bx + -21 = 3(9x + 2x + -7) Reorder the terms: 81 + -21 + bx = 3(9x + 2x + -7) Combine like terms: 81 + -21 = 60 60 + bx = 3(9x + 2x + -7) Reorder the terms: 60 + bx = 3(-7 + 9x + 2x) Combine like terms: 9x + 2x = 11x 60 + bx = 3(-7 + 11x) 60 + bx = (-7 * 3 + 11x * 3) 60 + bx = (-21 + 33x) Solving 60 + bx = -21 + 33x Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-60' to each side of the equation. 60 + -60 + bx = -21 + -60 + 33x Combine like terms: 60 + -60 = 0 0 + bx = -21 + -60 + 33x bx = -21 + -60 + 33x Combine like terms: -21 + -60 = -81 bx = -81 + 33x Divide each side by 'x'. b = -81x-1 + 33 Simplifying b = -81x-1 + 33 Reorder the terms: b = 33 + -81x-1
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