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Simplifying 40x + -100 = 42x + 100 Reorder the terms: -100 + 40x = 42x + 100 Reorder the terms: -100 + 40x = 100 + 42x Solving -100 + 40x = 100 + 42x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-42x' to each side of the equation. -100 + 40x + -42x = 100 + 42x + -42x Combine like terms: 40x + -42x = -2x -100 + -2x = 100 + 42x + -42x Combine like terms: 42x + -42x = 0 -100 + -2x = 100 + 0 -100 + -2x = 100 Add '100' to each side of the equation. -100 + 100 + -2x = 100 + 100 Combine like terms: -100 + 100 = 0 0 + -2x = 100 + 100 -2x = 100 + 100 Combine like terms: 100 + 100 = 200 -2x = 200 Divide each side by '-2'. x = -100 Simplifying x = -100
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