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Simplifying 8(x + -1b) = 2(2b + -1x) Reorder the terms: 8(-1b + x) = 2(2b + -1x) (-1b * 8 + x * 8) = 2(2b + -1x) (-8b + 8x) = 2(2b + -1x) -8b + 8x = (2b * 2 + -1x * 2) -8b + 8x = (4b + -2x) Solving -8b + 8x = 4b + -2x Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-4b' to each side of the equation. -8b + -4b + 8x = 4b + -4b + -2x Combine like terms: -8b + -4b = -12b -12b + 8x = 4b + -4b + -2x Combine like terms: 4b + -4b = 0 -12b + 8x = 0 + -2x -12b + 8x = -2x Add '-8x' to each side of the equation. -12b + 8x + -8x = -2x + -8x Combine like terms: 8x + -8x = 0 -12b + 0 = -2x + -8x -12b = -2x + -8x Combine like terms: -2x + -8x = -10x -12b = -10x Divide each side by '-12'. b = 0.8333333333x Simplifying b = 0.8333333333x
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