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Simplifying 5x + -1(x + -1) = 2x + -1(x + -2) Reorder the terms: 5x + -1(-1 + x) = 2x + -1(x + -2) 5x + (-1 * -1 + x * -1) = 2x + -1(x + -2) 5x + (1 + -1x) = 2x + -1(x + -2) Reorder the terms: 1 + 5x + -1x = 2x + -1(x + -2) Combine like terms: 5x + -1x = 4x 1 + 4x = 2x + -1(x + -2) Reorder the terms: 1 + 4x = 2x + -1(-2 + x) 1 + 4x = 2x + (-2 * -1 + x * -1) 1 + 4x = 2x + (2 + -1x) Reorder the terms: 1 + 4x = 2 + 2x + -1x Combine like terms: 2x + -1x = 1x 1 + 4x = 2 + 1x Solving 1 + 4x = 2 + 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. 1 + 4x + -1x = 2 + 1x + -1x Combine like terms: 4x + -1x = 3x 1 + 3x = 2 + 1x + -1x Combine like terms: 1x + -1x = 0 1 + 3x = 2 + 0 1 + 3x = 2 Add '-1' to each side of the equation. 1 + -1 + 3x = 2 + -1 Combine like terms: 1 + -1 = 0 0 + 3x = 2 + -1 3x = 2 + -1 Combine like terms: 2 + -1 = 1 3x = 1 Divide each side by '3'. x = 0.3333333333 Simplifying x = 0.3333333333
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