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Simplifying 40x + -500 = 2x + -1(250 + -2x) + -250 Reorder the terms: -500 + 40x = 2x + -1(250 + -2x) + -250 -500 + 40x = 2x + (250 * -1 + -2x * -1) + -250 -500 + 40x = 2x + (-250 + 2x) + -250 Reorder the terms: -500 + 40x = -250 + -250 + 2x + 2x Combine like terms: -250 + -250 = -500 -500 + 40x = -500 + 2x + 2x Combine like terms: 2x + 2x = 4x -500 + 40x = -500 + 4x Add '500' to each side of the equation. -500 + 500 + 40x = -500 + 500 + 4x Combine like terms: -500 + 500 = 0 0 + 40x = -500 + 500 + 4x 40x = -500 + 500 + 4x Combine like terms: -500 + 500 = 0 40x = 0 + 4x 40x = 4x Solving 40x = 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 40x + -4x = 4x + -4x Combine like terms: 40x + -4x = 36x 36x = 4x + -4x Combine like terms: 4x + -4x = 0 36x = 0 Divide each side by '36'. x = 0 Simplifying x = 0
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