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Simplifying 7x + 40 = 5(x + 10) Reorder the terms: 40 + 7x = 5(x + 10) Reorder the terms: 40 + 7x = 5(10 + x) 40 + 7x = (10 * 5 + x * 5) 40 + 7x = (50 + 5x) Solving 40 + 7x = 50 + 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 = 50 + 5x + -5x Combine like terms: 7x + -5x = 2x 40 + 2x = 50 + 5x + -5x Combine like terms: 5x + -5x = 0 40 + 2x = 50 + 0 40 + 2x = 50 Add '-40' to each side of the equation. 40 + -40 + 2x = 50 + -40 Combine like terms: 40 + -40 = 0 0 + 2x = 50 + -40 2x = 50 + -40 Combine like terms: 50 + -40 = 10 2x = 10 Divide each side by '2'. x = 5 Simplifying x = 5
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