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Simplifying 40x + 100 = 42x Reorder the terms: 100 + 40x = 42x Solving 100 + 40x = 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 = 42x + -42x Combine like terms: 40x + -42x = -2x 100 + -2x = 42x + -42x Combine like terms: 42x + -42x = 0 100 + -2x = 0 Add '-100' to each side of the equation. 100 + -100 + -2x = 0 + -100 Combine like terms: 100 + -100 = 0 0 + -2x = 0 + -100 -2x = 0 + -100 Combine like terms: 0 + -100 = -100 -2x = -100 Divide each side by '-2'. x = 50 Simplifying x = 50
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