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Simplifying -19(x + -4) + bx = 12 + 14 Reorder the terms: -19(-4 + x) + bx = 12 + 14 (-4 * -19 + x * -19) + bx = 12 + 14 (76 + -19x) + bx = 12 + 14 Reorder the terms: 76 + bx + -19x = 12 + 14 Combine like terms: 12 + 14 = 26 76 + bx + -19x = 26 Solving 76 + bx + -19x = 26 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-76' to each side of the equation. 76 + bx + -76 + -19x = 26 + -76 Reorder the terms: 76 + -76 + bx + -19x = 26 + -76 Combine like terms: 76 + -76 = 0 0 + bx + -19x = 26 + -76 bx + -19x = 26 + -76 Combine like terms: 26 + -76 = -50 bx + -19x = -50 Add '19x' to each side of the equation. bx + -19x + 19x = -50 + 19x Combine like terms: -19x + 19x = 0 bx + 0 = -50 + 19x bx = -50 + 19x Divide each side by 'x'. b = -50x-1 + 19 Simplifying b = -50x-1 + 19 Reorder the terms: b = 19 + -50x-1
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