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Simplifying 5x + -3b = 3(x + -6) Reorder the terms: -3b + 5x = 3(x + -6) Reorder the terms: -3b + 5x = 3(-6 + x) -3b + 5x = (-6 * 3 + x * 3) -3b + 5x = (-18 + 3x) Solving -3b + 5x = -18 + 3x Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-5x' to each side of the equation. -3b + 5x + -5x = -18 + 3x + -5x Combine like terms: 5x + -5x = 0 -3b + 0 = -18 + 3x + -5x -3b = -18 + 3x + -5x Combine like terms: 3x + -5x = -2x -3b = -18 + -2x Divide each side by '-3'. b = 6 + 0.6666666667x Simplifying b = 6 + 0.6666666667x
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