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Simplifying 40x = 5(x + 7) Reorder the terms: 40x = 5(7 + x) 40x = (7 * 5 + x * 5) 40x = (35 + 5x) Solving 40x = 35 + 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. 40x + -5x = 35 + 5x + -5x Combine like terms: 40x + -5x = 35x 35x = 35 + 5x + -5x Combine like terms: 5x + -5x = 0 35x = 35 + 0 35x = 35 Divide each side by '35'. x = 1 Simplifying x = 1
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