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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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