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Simplifying -4(8x + 3) = 4(3x + 85) Reorder the terms: -4(3 + 8x) = 4(3x + 85) (3 * -4 + 8x * -4) = 4(3x + 85) (-12 + -32x) = 4(3x + 85) Reorder the terms: -12 + -32x = 4(85 + 3x) -12 + -32x = (85 * 4 + 3x * 4) -12 + -32x = (340 + 12x) Solving -12 + -32x = 340 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -12 + -32x + -12x = 340 + 12x + -12x Combine like terms: -32x + -12x = -44x -12 + -44x = 340 + 12x + -12x Combine like terms: 12x + -12x = 0 -12 + -44x = 340 + 0 -12 + -44x = 340 Add '12' to each side of the equation. -12 + 12 + -44x = 340 + 12 Combine like terms: -12 + 12 = 0 0 + -44x = 340 + 12 -44x = 340 + 12 Combine like terms: 340 + 12 = 352 -44x = 352 Divide each side by '-44'. x = -8 Simplifying x = -8
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