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Simplifying -20 + 5x = -4(3x + -5) + -6 Reorder the terms: -20 + 5x = -4(-5 + 3x) + -6 -20 + 5x = (-5 * -4 + 3x * -4) + -6 -20 + 5x = (20 + -12x) + -6 Reorder the terms: -20 + 5x = 20 + -6 + -12x Combine like terms: 20 + -6 = 14 -20 + 5x = 14 + -12x Solving -20 + 5x = 14 + -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. -20 + 5x + 12x = 14 + -12x + 12x Combine like terms: 5x + 12x = 17x -20 + 17x = 14 + -12x + 12x Combine like terms: -12x + 12x = 0 -20 + 17x = 14 + 0 -20 + 17x = 14 Add '20' to each side of the equation. -20 + 20 + 17x = 14 + 20 Combine like terms: -20 + 20 = 0 0 + 17x = 14 + 20 17x = 14 + 20 Combine like terms: 14 + 20 = 34 17x = 34 Divide each side by '17'. x = 2 Simplifying x = 2
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