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Simplifying 40 + 7x = 5(x + 30) Reorder the terms: 40 + 7x = 5(30 + x) 40 + 7x = (30 * 5 + x * 5) 40 + 7x = (150 + 5x) Solving 40 + 7x = 150 + 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 = 150 + 5x + -5x Combine like terms: 7x + -5x = 2x 40 + 2x = 150 + 5x + -5x Combine like terms: 5x + -5x = 0 40 + 2x = 150 + 0 40 + 2x = 150 Add '-40' to each side of the equation. 40 + -40 + 2x = 150 + -40 Combine like terms: 40 + -40 = 0 0 + 2x = 150 + -40 2x = 150 + -40 Combine like terms: 150 + -40 = 110 2x = 110 Divide each side by '2'. x = 55 Simplifying x = 55
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