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Simplifying 40 = 2x + 5(x + 1) Reorder the terms: 40 = 2x + 5(1 + x) 40 = 2x + (1 * 5 + x * 5) 40 = 2x + (5 + 5x) Reorder the terms: 40 = 5 + 2x + 5x Combine like terms: 2x + 5x = 7x 40 = 5 + 7x Solving 40 = 5 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 40 + -7x = 5 + 7x + -7x Combine like terms: 7x + -7x = 0 40 + -7x = 5 + 0 40 + -7x = 5 Add '-40' to each side of the equation. 40 + -40 + -7x = 5 + -40 Combine like terms: 40 + -40 = 0 0 + -7x = 5 + -40 -7x = 5 + -40 Combine like terms: 5 + -40 = -35 -7x = -35 Divide each side by '-7'. x = 5 Simplifying x = 5
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