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Simplifying 4 + -1(2 + -7x) = 2(x + 1) 4 + (2 * -1 + -7x * -1) = 2(x + 1) 4 + (-2 + 7x) = 2(x + 1) Combine like terms: 4 + -2 = 2 2 + 7x = 2(x + 1) Reorder the terms: 2 + 7x = 2(1 + x) 2 + 7x = (1 * 2 + x * 2) 2 + 7x = (2 + 2x) Add '-2' to each side of the equation. 2 + -2 + 7x = 2 + -2 + 2x Combine like terms: 2 + -2 = 0 0 + 7x = 2 + -2 + 2x 7x = 2 + -2 + 2x Combine like terms: 2 + -2 = 0 7x = 0 + 2x 7x = 2x Solving 7x = 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 7x + -2x = 2x + -2x Combine like terms: 7x + -2x = 5x 5x = 2x + -2x Combine like terms: 2x + -2x = 0 5x = 0 Divide each side by '5'. x = 0 Simplifying x = 0
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