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Simplifying b + -2x = 4(x + 3b) + -4 Reorder the terms: b + -2x = 4(3b + x) + -4 b + -2x = (3b * 4 + x * 4) + -4 b + -2x = (12b + 4x) + -4 Reorder the terms: b + -2x = -4 + 12b + 4x Solving b + -2x = -4 + 12b + 4x Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-12b' to each side of the equation. b + -12b + -2x = -4 + 12b + -12b + 4x Combine like terms: b + -12b = -11b -11b + -2x = -4 + 12b + -12b + 4x Combine like terms: 12b + -12b = 0 -11b + -2x = -4 + 0 + 4x -11b + -2x = -4 + 4x Add '2x' to each side of the equation. -11b + -2x + 2x = -4 + 4x + 2x Combine like terms: -2x + 2x = 0 -11b + 0 = -4 + 4x + 2x -11b = -4 + 4x + 2x Combine like terms: 4x + 2x = 6x -11b = -4 + 6x Divide each side by '-11'. b = 0.3636363636 + -0.5454545455x Simplifying b = 0.3636363636 + -0.5454545455x
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