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Simplifying x + -3(2b + -7) = 76 Reorder the terms: x + -3(-7 + 2b) = 76 x + (-7 * -3 + 2b * -3) = 76 x + (21 + -6b) = 76 Reorder the terms: 21 + -6b + x = 76 Solving 21 + -6b + x = 76 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-21' to each side of the equation. 21 + -6b + -21 + x = 76 + -21 Reorder the terms: 21 + -21 + -6b + x = 76 + -21 Combine like terms: 21 + -21 = 0 0 + -6b + x = 76 + -21 -6b + x = 76 + -21 Combine like terms: 76 + -21 = 55 -6b + x = 55 Add '-1x' to each side of the equation. -6b + x + -1x = 55 + -1x Combine like terms: x + -1x = 0 -6b + 0 = 55 + -1x -6b = 55 + -1x Divide each side by '-6'. b = -9.166666667 + 0.1666666667x Simplifying b = -9.166666667 + 0.1666666667x
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