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Simplifying 3(4x + -8) = 31 + -4(x + 2) Reorder the terms: 3(-8 + 4x) = 31 + -4(x + 2) (-8 * 3 + 4x * 3) = 31 + -4(x + 2) (-24 + 12x) = 31 + -4(x + 2) Reorder the terms: -24 + 12x = 31 + -4(2 + x) -24 + 12x = 31 + (2 * -4 + x * -4) -24 + 12x = 31 + (-8 + -4x) Combine like terms: 31 + -8 = 23 -24 + 12x = 23 + -4x Solving -24 + 12x = 23 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -24 + 12x + 4x = 23 + -4x + 4x Combine like terms: 12x + 4x = 16x -24 + 16x = 23 + -4x + 4x Combine like terms: -4x + 4x = 0 -24 + 16x = 23 + 0 -24 + 16x = 23 Add '24' to each side of the equation. -24 + 24 + 16x = 23 + 24 Combine like terms: -24 + 24 = 0 0 + 16x = 23 + 24 16x = 23 + 24 Combine like terms: 23 + 24 = 47 16x = 47 Divide each side by '16'. x = 2.9375 Simplifying x = 2.9375
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