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Simplifying 7x + 40 = 4x + 100 Reorder the terms: 40 + 7x = 4x + 100 Reorder the terms: 40 + 7x = 100 + 4x Solving 40 + 7x = 100 + 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. 40 + 7x + -4x = 100 + 4x + -4x Combine like terms: 7x + -4x = 3x 40 + 3x = 100 + 4x + -4x Combine like terms: 4x + -4x = 0 40 + 3x = 100 + 0 40 + 3x = 100 Add '-40' to each side of the equation. 40 + -40 + 3x = 100 + -40 Combine like terms: 40 + -40 = 0 0 + 3x = 100 + -40 3x = 100 + -40 Combine like terms: 100 + -40 = 60 3x = 60 Divide each side by '3'. x = 20 Simplifying x = 20
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