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Simplifying 5bx(4 + 3) + -2x(b + 5) = 0 Combine like terms: 4 + 3 = 7 5bx(7) + -2x(b + 5) = 0 Reorder the terms for easier multiplication: 5 * 7bx + -2x(b + 5) = 0 Multiply 5 * 7 35bx + -2x(b + 5) = 0 Reorder the terms: 35bx + -2x(5 + b) = 0 35bx + (5 * -2x + b * -2x) = 0 Reorder the terms: 35bx + (-2bx + -10x) = 0 35bx + (-2bx + -10x) = 0 Combine like terms: 35bx + -2bx = 33bx 33bx + -10x = 0 Solving 33bx + -10x = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '10x' to each side of the equation. 33bx + -10x + 10x = 0 + 10x Combine like terms: -10x + 10x = 0 33bx + 0 = 0 + 10x 33bx = 0 + 10x Remove the zero: 33bx = 10x Divide each side by '33x'. b = 0.303030303 Simplifying b = 0.303030303
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