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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 = 4 2x = 4 Divide each side by '2'. x = 2 Simplifying x = 2
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