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Simplifying 4(3x + -1) = -1(4 + -5x) Reorder the terms: 4(-1 + 3x) = -1(4 + -5x) (-1 * 4 + 3x * 4) = -1(4 + -5x) (-4 + 12x) = -1(4 + -5x) -4 + 12x = (4 * -1 + -5x * -1) -4 + 12x = (-4 + 5x) Add '4' to each side of the equation. -4 + 4 + 12x = -4 + 4 + 5x Combine like terms: -4 + 4 = 0 0 + 12x = -4 + 4 + 5x 12x = -4 + 4 + 5x Combine like terms: -4 + 4 = 0 12x = 0 + 5x 12x = 5x Solving 12x = 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. 12x + -5x = 5x + -5x Combine like terms: 12x + -5x = 7x 7x = 5x + -5x Combine like terms: 5x + -5x = 0 7x = 0 Divide each side by '7'. x = 0 Simplifying x = 0
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