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Simplifying 3(-4x + 8) + 3x + -4(2x + -5) = 4x Reorder the terms: 3(8 + -4x) + 3x + -4(2x + -5) = 4x (8 * 3 + -4x * 3) + 3x + -4(2x + -5) = 4x (24 + -12x) + 3x + -4(2x + -5) = 4x Reorder the terms: 24 + -12x + 3x + -4(-5 + 2x) = 4x 24 + -12x + 3x + (-5 * -4 + 2x * -4) = 4x 24 + -12x + 3x + (20 + -8x) = 4x Reorder the terms: 24 + 20 + -12x + 3x + -8x = 4x Combine like terms: 24 + 20 = 44 44 + -12x + 3x + -8x = 4x Combine like terms: -12x + 3x = -9x 44 + -9x + -8x = 4x Combine like terms: -9x + -8x = -17x 44 + -17x = 4x Solving 44 + -17x = 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. 44 + -17x + -4x = 4x + -4x Combine like terms: -17x + -4x = -21x 44 + -21x = 4x + -4x Combine like terms: 4x + -4x = 0 44 + -21x = 0 Add '-44' to each side of the equation. 44 + -44 + -21x = 0 + -44 Combine like terms: 44 + -44 = 0 0 + -21x = 0 + -44 -21x = 0 + -44 Combine like terms: 0 + -44 = -44 -21x = -44 Divide each side by '-21'. x = 2.095238095 Simplifying x = 2.095238095
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