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Simplifying [2x + -1] = [4x + 3] Reorder the terms: [-1 + 2x] = [4x + 3] Remove brackets around [-1 + 2x] -1 + 2x = [4x + 3] Reorder the terms: -1 + 2x = [3 + 4x] Remove brackets around [3 + 4x] -1 + 2x = 3 + 4x Solving -1 + 2x = 3 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -1 + 2x + -4x = 3 + 4x + -4x Combine like terms: 2x + -4x = -2x -1 + -2x = 3 + 4x + -4x Combine like terms: 4x + -4x = 0 -1 + -2x = 3 + 0 -1 + -2x = 3 Add '1' to each side of the equation. -1 + 1 + -2x = 3 + 1 Combine like terms: -1 + 1 = 0 0 + -2x = 3 + 1 -2x = 3 + 1 Combine like terms: 3 + 1 = 4 -2x = 4 Divide each side by '-2'. x = -2 Simplifying x = -2
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