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Simplifying 5x + -1(x + -2) = 2x + -1(x + 1) Reorder the terms: 5x + -1(-2 + x) = 2x + -1(x + 1) 5x + (-2 * -1 + x * -1) = 2x + -1(x + 1) 5x + (2 + -1x) = 2x + -1(x + 1) Reorder the terms: 2 + 5x + -1x = 2x + -1(x + 1) Combine like terms: 5x + -1x = 4x 2 + 4x = 2x + -1(x + 1) Reorder the terms: 2 + 4x = 2x + -1(1 + x) 2 + 4x = 2x + (1 * -1 + x * -1) 2 + 4x = 2x + (-1 + -1x) Reorder the terms: 2 + 4x = -1 + 2x + -1x Combine like terms: 2x + -1x = 1x 2 + 4x = -1 + 1x Solving 2 + 4x = -1 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 2 + 4x + -1x = -1 + 1x + -1x Combine like terms: 4x + -1x = 3x 2 + 3x = -1 + 1x + -1x Combine like terms: 1x + -1x = 0 2 + 3x = -1 + 0 2 + 3x = -1 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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