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Simplifying 3(4x + -8) = 1 + -5(35x + 30) Reorder the terms: 3(-8 + 4x) = 1 + -5(35x + 30) (-8 * 3 + 4x * 3) = 1 + -5(35x + 30) (-24 + 12x) = 1 + -5(35x + 30) Reorder the terms: -24 + 12x = 1 + -5(30 + 35x) -24 + 12x = 1 + (30 * -5 + 35x * -5) -24 + 12x = 1 + (-150 + -175x) Combine like terms: 1 + -150 = -149 -24 + 12x = -149 + -175x Solving -24 + 12x = -149 + -175x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '175x' to each side of the equation. -24 + 12x + 175x = -149 + -175x + 175x Combine like terms: 12x + 175x = 187x -24 + 187x = -149 + -175x + 175x Combine like terms: -175x + 175x = 0 -24 + 187x = -149 + 0 -24 + 187x = -149 Add '24' to each side of the equation. -24 + 24 + 187x = -149 + 24 Combine like terms: -24 + 24 = 0 0 + 187x = -149 + 24 187x = -149 + 24 Combine like terms: -149 + 24 = -125 187x = -125 Divide each side by '187'. x = -0.6684491979 Simplifying x = -0.6684491979
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