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Simplifying 18 + -4(2x + 2b) = 5b + -2x Reorder the terms: 18 + -4(2b + 2x) = 5b + -2x 18 + (2b * -4 + 2x * -4) = 5b + -2x 18 + (-8b + -8x) = 5b + -2x Solving 18 + -8b + -8x = 5b + -2x Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-5b' to each side of the equation. 18 + -8b + -5b + -8x = 5b + -5b + -2x Combine like terms: -8b + -5b = -13b 18 + -13b + -8x = 5b + -5b + -2x Combine like terms: 5b + -5b = 0 18 + -13b + -8x = 0 + -2x 18 + -13b + -8x = -2x Add '-18' to each side of the equation. 18 + -13b + -18 + -8x = -18 + -2x Reorder the terms: 18 + -18 + -13b + -8x = -18 + -2x Combine like terms: 18 + -18 = 0 0 + -13b + -8x = -18 + -2x -13b + -8x = -18 + -2x Add '8x' to each side of the equation. -13b + -8x + 8x = -18 + -2x + 8x Combine like terms: -8x + 8x = 0 -13b + 0 = -18 + -2x + 8x -13b = -18 + -2x + 8x Combine like terms: -2x + 8x = 6x -13b = -18 + 6x Divide each side by '-13'. b = 1.384615385 + -0.4615384615x Simplifying b = 1.384615385 + -0.4615384615x
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