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Simplifying 5x + -2(x + 1) = 1 Reorder the terms: 5x + -2(1 + x) = 1 5x + (1 * -2 + x * -2) = 1 5x + (-2 + -2x) = 1 Reorder the terms: -2 + 5x + -2x = 1 Combine like terms: 5x + -2x = 3x -2 + 3x = 1 Solving -2 + 3x = 1 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 3x = 1 + 2 Combine like terms: -2 + 2 = 0 0 + 3x = 1 + 2 3x = 1 + 2 Combine like terms: 1 + 2 = 3 3x = 3 Divide each side by '3'. x = 1 Simplifying x = 1
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