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Simplifying 6(x + 2) + -1b = 31 Reorder the terms: 6(2 + x) + -1b = 31 (2 * 6 + x * 6) + -1b = 31 (12 + 6x) + -1b = 31 Reorder the terms: 12 + -1b + 6x = 31 Solving 12 + -1b + 6x = 31 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 + -1b + -12 + 6x = 31 + -12 Reorder the terms: 12 + -12 + -1b + 6x = 31 + -12 Combine like terms: 12 + -12 = 0 0 + -1b + 6x = 31 + -12 -1b + 6x = 31 + -12 Combine like terms: 31 + -12 = 19 -1b + 6x = 19 Add '-6x' to each side of the equation. -1b + 6x + -6x = 19 + -6x Combine like terms: 6x + -6x = 0 -1b + 0 = 19 + -6x -1b = 19 + -6x Divide each side by '-1'. b = -19 + 6x Simplifying b = -19 + 6x
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