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Simplifying 3(4x + -1) = 5(x + -5) Reorder the terms: 3(-1 + 4x) = 5(x + -5) (-1 * 3 + 4x * 3) = 5(x + -5) (-3 + 12x) = 5(x + -5) Reorder the terms: -3 + 12x = 5(-5 + x) -3 + 12x = (-5 * 5 + x * 5) -3 + 12x = (-25 + 5x) Solving -3 + 12x = -25 + 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. -3 + 12x + -5x = -25 + 5x + -5x Combine like terms: 12x + -5x = 7x -3 + 7x = -25 + 5x + -5x Combine like terms: 5x + -5x = 0 -3 + 7x = -25 + 0 -3 + 7x = -25 Add '3' to each side of the equation. -3 + 3 + 7x = -25 + 3 Combine like terms: -3 + 3 = 0 0 + 7x = -25 + 3 7x = -25 + 3 Combine like terms: -25 + 3 = -22 7x = -22 Divide each side by '7'. x = -3.142857143 Simplifying x = -3.142857143
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