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Simplifying 3 + 4(x + -3b) = 6b + -1x Reorder the terms: 3 + 4(-3b + x) = 6b + -1x 3 + (-3b * 4 + x * 4) = 6b + -1x 3 + (-12b + 4x) = 6b + -1x Solving 3 + -12b + 4x = 6b + -1x Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-6b' to each side of the equation. 3 + -12b + -6b + 4x = 6b + -6b + -1x Combine like terms: -12b + -6b = -18b 3 + -18b + 4x = 6b + -6b + -1x Combine like terms: 6b + -6b = 0 3 + -18b + 4x = 0 + -1x 3 + -18b + 4x = -1x Add '-3' to each side of the equation. 3 + -18b + -3 + 4x = -3 + -1x Reorder the terms: 3 + -3 + -18b + 4x = -3 + -1x Combine like terms: 3 + -3 = 0 0 + -18b + 4x = -3 + -1x -18b + 4x = -3 + -1x Add '-4x' to each side of the equation. -18b + 4x + -4x = -3 + -1x + -4x Combine like terms: 4x + -4x = 0 -18b + 0 = -3 + -1x + -4x -18b = -3 + -1x + -4x Combine like terms: -1x + -4x = -5x -18b = -3 + -5x Divide each side by '-18'. b = 0.1666666667 + 0.2777777778x Simplifying b = 0.1666666667 + 0.2777777778x
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