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Simplifying 3x + 2 + -4x + 7 + 3b + 5b + -2 = 0 Reorder the terms: 2 + 7 + -2 + 3b + 5b + 3x + -4x = 0 Combine like terms: 2 + 7 = 9 9 + -2 + 3b + 5b + 3x + -4x = 0 Combine like terms: 9 + -2 = 7 7 + 3b + 5b + 3x + -4x = 0 Combine like terms: 3b + 5b = 8b 7 + 8b + 3x + -4x = 0 Combine like terms: 3x + -4x = -1x 7 + 8b + -1x = 0 Solving 7 + 8b + -1x = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + 8b + -7 + -1x = 0 + -7 Reorder the terms: 7 + -7 + 8b + -1x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 8b + -1x = 0 + -7 8b + -1x = 0 + -7 Combine like terms: 0 + -7 = -7 8b + -1x = -7 Add 'x' to each side of the equation. 8b + -1x + x = -7 + x Combine like terms: -1x + x = 0 8b + 0 = -7 + x 8b = -7 + x Divide each side by '8'. b = -0.875 + 0.125x Simplifying b = -0.875 + 0.125x
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