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Simplifying 6(-3b + 1) = -17(x + 1) Reorder the terms: 6(1 + -3b) = -17(x + 1) (1 * 6 + -3b * 6) = -17(x + 1) (6 + -18b) = -17(x + 1) Reorder the terms: 6 + -18b = -17(1 + x) 6 + -18b = (1 * -17 + x * -17) 6 + -18b = (-17 + -17x) Solving 6 + -18b = -17 + -17x Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -18b = -17 + -6 + -17x Combine like terms: 6 + -6 = 0 0 + -18b = -17 + -6 + -17x -18b = -17 + -6 + -17x Combine like terms: -17 + -6 = -23 -18b = -23 + -17x Divide each side by '-18'. b = 1.277777778 + 0.9444444444x Simplifying b = 1.277777778 + 0.9444444444x
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