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Simplifying 6x = 5x + 2(x + -1) + -1x + b Reorder the terms: 6x = 5x + 2(-1 + x) + -1x + b 6x = 5x + (-1 * 2 + x * 2) + -1x + b 6x = 5x + (-2 + 2x) + -1x + b Reorder the terms: 6x = -2 + b + 5x + 2x + -1x Combine like terms: 5x + 2x = 7x 6x = -2 + b + 7x + -1x Combine like terms: 7x + -1x = 6x 6x = -2 + b + 6x Add '-6x' to each side of the equation. 6x + -6x = -2 + b + 6x + -6x Combine like terms: 6x + -6x = 0 0 = -2 + b + 6x + -6x Combine like terms: 6x + -6x = 0 0 = -2 + b + 0 0 = -2 + b Solving 0 = -2 + b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-1b' to each side of the equation. 0 + -1b = -2 + b + -1b Remove the zero: -1b = -2 + b + -1b Combine like terms: b + -1b = 0 -1b = -2 + 0 -1b = -2 Divide each side by '-1'. b = 2 Simplifying b = 2
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