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Simplifying [2x + -3] = [4x + 5] Reorder the terms: [-3 + 2x] = [4x + 5] Remove brackets around [-3 + 2x] -3 + 2x = [4x + 5] Reorder the terms: -3 + 2x = [5 + 4x] Remove brackets around [5 + 4x] -3 + 2x = 5 + 4x Solving -3 + 2x = 5 + 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. -3 + 2x + -4x = 5 + 4x + -4x Combine like terms: 2x + -4x = -2x -3 + -2x = 5 + 4x + -4x Combine like terms: 4x + -4x = 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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