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Simplifying -3(4x + 3) + 4(-8x + -2) = -4x + -8x Reorder the terms: -3(3 + 4x) + 4(-8x + -2) = -4x + -8x (3 * -3 + 4x * -3) + 4(-8x + -2) = -4x + -8x (-9 + -12x) + 4(-8x + -2) = -4x + -8x Reorder the terms: -9 + -12x + 4(-2 + -8x) = -4x + -8x -9 + -12x + (-2 * 4 + -8x * 4) = -4x + -8x -9 + -12x + (-8 + -32x) = -4x + -8x Reorder the terms: -9 + -8 + -12x + -32x = -4x + -8x Combine like terms: -9 + -8 = -17 -17 + -12x + -32x = -4x + -8x Combine like terms: -12x + -32x = -44x -17 + -44x = -4x + -8x Combine like terms: -4x + -8x = -12x -17 + -44x = -12x Solving -17 + -44x = -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. -17 + -44x + 12x = -12x + 12x Combine like terms: -44x + 12x = -32x -17 + -32x = -12x + 12x Combine like terms: -12x + 12x = 0 -17 + -32x = 0 Add '17' to each side of the equation. -17 + 17 + -32x = 0 + 17 Combine like terms: -17 + 17 = 0 0 + -32x = 0 + 17 -32x = 0 + 17 Combine like terms: 0 + 17 = 17 -32x = 17 Divide each side by '-32'. x = -0.53125 Simplifying x = -0.53125
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