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Simplifying 4 + -1(5 + -7x) = 2(x + 1) 4 + (5 * -1 + -7x * -1) = 2(x + 1) 4 + (-5 + 7x) = 2(x + 1) Combine like terms: 4 + -5 = -1 -1 + 7x = 2(x + 1) Reorder the terms: -1 + 7x = 2(1 + x) -1 + 7x = (1 * 2 + x * 2) -1 + 7x = (2 + 2x) Solving -1 + 7x = 2 + 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. -1 + 7x + -2x = 2 + 2x + -2x Combine like terms: 7x + -2x = 5x -1 + 5x = 2 + 2x + -2x Combine like terms: 2x + -2x = 0 -1 + 5x = 2 + 0 -1 + 5x = 2 Add '1' to each side of the equation. -1 + 1 + 5x = 2 + 1 Combine like terms: -1 + 1 = 0 0 + 5x = 2 + 1 5x = 2 + 1 Combine like terms: 2 + 1 = 3 5x = 3 Divide each side by '5'. x = 0.6 Simplifying x = 0.6
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