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Simplifying 7x + 20(2) = 5(x + 20) Multiply 20 * 2 7x + 40 = 5(x + 20) Reorder the terms: 40 + 7x = 5(x + 20) Reorder the terms: 40 + 7x = 5(20 + x) 40 + 7x = (20 * 5 + x * 5) 40 + 7x = (100 + 5x) Solving 40 + 7x = 100 + 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 + 7x + -5x = 100 + 5x + -5x Combine like terms: 7x + -5x = 2x 40 + 2x = 100 + 5x + -5x Combine like terms: 5x + -5x = 0 40 + 2x = 100 + 0 40 + 2x = 100 Add '-40' to each side of the equation. 40 + -40 + 2x = 100 + -40 Combine like terms: 40 + -40 = 0 0 + 2x = 100 + -40 2x = 100 + -40 Combine like terms: 100 + -40 = 60 2x = 60 Divide each side by '2'. x = 30 Simplifying x = 30
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