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Simplifying 5x + -1(x + 1) = 5 + 2x Reorder the terms: 5x + -1(1 + x) = 5 + 2x 5x + (1 * -1 + x * -1) = 5 + 2x 5x + (-1 + -1x) = 5 + 2x Reorder the terms: -1 + 5x + -1x = 5 + 2x Combine like terms: 5x + -1x = 4x -1 + 4x = 5 + 2x Solving -1 + 4x = 5 + 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 + 4x + -2x = 5 + 2x + -2x Combine like terms: 4x + -2x = 2x -1 + 2x = 5 + 2x + -2x Combine like terms: 2x + -2x = 0 -1 + 2x = 5 + 0 -1 + 2x = 5 Add '1' to each side of the equation. -1 + 1 + 2x = 5 + 1 Combine like terms: -1 + 1 = 0 0 + 2x = 5 + 1 2x = 5 + 1 Combine like terms: 5 + 1 = 6 2x = 6 Divide each side by '2'. x = 3 Simplifying x = 3
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