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Simplifying 5(2x + -4) + 6 + b = 7x + -14 Reorder the terms: 5(-4 + 2x) + 6 + b = 7x + -14 (-4 * 5 + 2x * 5) + 6 + b = 7x + -14 (-20 + 10x) + 6 + b = 7x + -14 Reorder the terms: -20 + 6 + b + 10x = 7x + -14 Combine like terms: -20 + 6 = -14 -14 + b + 10x = 7x + -14 Reorder the terms: -14 + b + 10x = -14 + 7x Add '14' to each side of the equation. -14 + b + 14 + 10x = -14 + 14 + 7x Reorder the terms: -14 + 14 + b + 10x = -14 + 14 + 7x Combine like terms: -14 + 14 = 0 0 + b + 10x = -14 + 14 + 7x b + 10x = -14 + 14 + 7x Combine like terms: -14 + 14 = 0 b + 10x = 0 + 7x b + 10x = 7x Solving b + 10x = 7x 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. b + 10x + -10x = 7x + -10x Combine like terms: 10x + -10x = 0 b + 0 = 7x + -10x b = 7x + -10x Combine like terms: 7x + -10x = -3x b = -3x Simplifying b = -3x
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