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Simplifying 3x + -5b + 2x = -2 + -2(1 + -1x) Reorder the terms: -5b + 3x + 2x = -2 + -2(1 + -1x) Combine like terms: 3x + 2x = 5x -5b + 5x = -2 + -2(1 + -1x) -5b + 5x = -2 + (1 * -2 + -1x * -2) -5b + 5x = -2 + (-2 + 2x) Combine like terms: -2 + -2 = -4 -5b + 5x = -4 + 2x Solving -5b + 5x = -4 + 2x 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. -5b + 5x + -5x = -4 + 2x + -5x Combine like terms: 5x + -5x = 0 -5b + 0 = -4 + 2x + -5x -5b = -4 + 2x + -5x Combine like terms: 2x + -5x = -3x -5b = -4 + -3x Divide each side by '-5'. b = 0.8 + 0.6x Simplifying b = 0.8 + 0.6x
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