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Simplifying 5(x + 1) + b(x + 1) = 0 Reorder the terms: 5(1 + x) + b(x + 1) = 0 (1 * 5 + x * 5) + b(x + 1) = 0 (5 + 5x) + b(x + 1) = 0 Reorder the terms: 5 + 5x + b(1 + x) = 0 5 + 5x + (1 * b + x * b) = 0 5 + 5x + (1b + bx) = 0 Reorder the terms: 5 + 1b + bx + 5x = 0 Solving 5 + 1b + bx + 5x = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + 1b + bx + -5 + 5x = 0 + -5 Reorder the terms: 5 + -5 + 1b + bx + 5x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 1b + bx + 5x = 0 + -5 1b + bx + 5x = 0 + -5 Combine like terms: 0 + -5 = -5 1b + bx + 5x = -5 Add '-5x' to each side of the equation. 1b + bx + 5x + -5x = -5 + -5x Combine like terms: 5x + -5x = 0 1b + bx + 0 = -5 + -5x 1b + bx = -5 + -5x Reorder the terms: 5 + 1b + bx + 5x = -5 + -5x + 5 + 5x Reorder the terms: 5 + 1b + bx + 5x = -5 + 5 + -5x + 5x Combine like terms: -5 + 5 = 0 5 + 1b + bx + 5x = 0 + -5x + 5x 5 + 1b + bx + 5x = -5x + 5x Combine like terms: -5x + 5x = 0 5 + 1b + bx + 5x = 0 The solution to this equation could not be determined.
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