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Simplifying [4x + 3] = [2x + -5] Reorder the terms: [3 + 4x] = [2x + -5] Remove brackets around [3 + 4x] 3 + 4x = [2x + -5] Reorder the terms: 3 + 4x = [-5 + 2x] Remove brackets around [-5 + 2x] 3 + 4x = -5 + 2x Solving 3 + 4x = -5 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 3 + 4x + -2x = -5 + 2x + -2x Combine like terms: 4x + -2x = 2x 3 + 2x = -5 + 2x + -2x Combine like terms: 2x + -2x = 0 3 + 2x = -5 + 0 3 + 2x = -5 Add '-3' to each side of the equation. 3 + -3 + 2x = -5 + -3 Combine like terms: 3 + -3 = 0 0 + 2x = -5 + -3 2x = -5 + -3 Combine like terms: -5 + -3 = -8 2x = -8 Divide each side by '2'. x = -4 Simplifying x = -4
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