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Simplifying 14x + 40(x + -1) = 1(5x + -5) Reorder the terms: 14x + 40(-1 + x) = 1(5x + -5) 14x + (-1 * 40 + x * 40) = 1(5x + -5) 14x + (-40 + 40x) = 1(5x + -5) Reorder the terms: -40 + 14x + 40x = 1(5x + -5) Combine like terms: 14x + 40x = 54x -40 + 54x = 1(5x + -5) Reorder the terms: -40 + 54x = 1(-5 + 5x) -40 + 54x = (-5 * 1 + 5x * 1) -40 + 54x = (-5 + 5x) Solving -40 + 54x = -5 + 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. -40 + 54x + -5x = -5 + 5x + -5x Combine like terms: 54x + -5x = 49x -40 + 49x = -5 + 5x + -5x Combine like terms: 5x + -5x = 0 -40 + 49x = -5 + 0 -40 + 49x = -5 Add '40' to each side of the equation. -40 + 40 + 49x = -5 + 40 Combine like terms: -40 + 40 = 0 0 + 49x = -5 + 40 49x = -5 + 40 Combine like terms: -5 + 40 = 35 49x = 35 Divide each side by '49'. x = 0.7142857143 Simplifying x = 0.7142857143
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