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Simplifying L(x + -2) + 1 = L(2x + -1) Reorder the terms: L(-2 + x) + 1 = L(2x + -1) (-2 * L + x * L) + 1 = L(2x + -1) (-2L + xL) + 1 = L(2x + -1) Reorder the terms: 1 + -2L + xL = L(2x + -1) Reorder the terms: 1 + -2L + xL = L(-1 + 2x) 1 + -2L + xL = (-1 * L + 2x * L) 1 + -2L + xL = (-1L + 2xL) Solving 1 + -2L + xL = -1L + 2xL Solving for variable 'L'. Move all terms containing L to the left, all other terms to the right. Add 'L' to each side of the equation. 1 + -2L + L + xL = -1L + L + 2xL Combine like terms: -2L + L = -1L 1 + -1L + xL = -1L + L + 2xL Combine like terms: -1L + L = 0 1 + -1L + xL = 0 + 2xL 1 + -1L + xL = 2xL Add '-2xL' to each side of the equation. 1 + -1L + xL + -2xL = 2xL + -2xL Combine like terms: xL + -2xL = -1xL 1 + -1L + -1xL = 2xL + -2xL Combine like terms: 2xL + -2xL = 0 1 + -1L + -1xL = 0 Add '-1' to each side of the equation. 1 + -1L + -1 + -1xL = 0 + -1 Reorder the terms: 1 + -1 + -1L + -1xL = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1L + -1xL = 0 + -1 -1L + -1xL = 0 + -1 Combine like terms: 0 + -1 = -1 -1L + -1xL = -1 Reorder the terms: 1 + -1L + -1xL = -1 + 1 Combine like terms: -1 + 1 = 0 1 + -1L + -1xL = 0 The solution to this equation could not be determined.
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