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Simplifying bx + 40 = 8(x + a) Reorder the terms: 40 + bx = 8(x + a) Reorder the terms: 40 + bx = 8(a + x) 40 + bx = (a * 8 + x * 8) 40 + bx = (8a + 8x) Solving 40 + bx = 8a + 8x Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-40' to each side of the equation. 40 + -40 + bx = 8a + -40 + 8x Combine like terms: 40 + -40 = 0 0 + bx = 8a + -40 + 8x bx = 8a + -40 + 8x Reorder the terms: bx = -40 + 8a + 8x Divide each side by 'x'. b = -40x-1 + 8ax-1 + 8 Simplifying b = -40x-1 + 8ax-1 + 8 Reorder the terms: b = 8 + 8ax-1 + -40x-1
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