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Simplifying 3(-4x + 8) + 3x + -4(2x + -5) = 5x Reorder the terms: 3(8 + -4x) + 3x + -4(2x + -5) = 5x (8 * 3 + -4x * 3) + 3x + -4(2x + -5) = 5x (24 + -12x) + 3x + -4(2x + -5) = 5x Reorder the terms: 24 + -12x + 3x + -4(-5 + 2x) = 5x 24 + -12x + 3x + (-5 * -4 + 2x * -4) = 5x 24 + -12x + 3x + (20 + -8x) = 5x Reorder the terms: 24 + 20 + -12x + 3x + -8x = 5x Combine like terms: 24 + 20 = 44 44 + -12x + 3x + -8x = 5x Combine like terms: -12x + 3x = -9x 44 + -9x + -8x = 5x Combine like terms: -9x + -8x = -17x 44 + -17x = 5x Solving 44 + -17x = 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 44 + -17x + -5x = 5x + -5x Combine like terms: -17x + -5x = -22x 44 + -22x = 5x + -5x Combine like terms: 5x + -5x = 0 44 + -22x = 0 Add '-44' to each side of the equation. 44 + -44 + -22x = 0 + -44 Combine like terms: 44 + -44 = 0 0 + -22x = 0 + -44 -22x = 0 + -44 Combine like terms: 0 + -44 = -44 -22x = -44 Divide each side by '-22'. x = 2 Simplifying x = 2
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