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Simplifying (4x + 3) + -5 = (2x + -1) + -2 Reorder the terms: (3 + 4x) + -5 = (2x + -1) + -2 Remove parenthesis around (3 + 4x) 3 + 4x + -5 = (2x + -1) + -2 Reorder the terms: 3 + -5 + 4x = (2x + -1) + -2 Combine like terms: 3 + -5 = -2 -2 + 4x = (2x + -1) + -2 Reorder the terms: -2 + 4x = (-1 + 2x) + -2 Remove parenthesis around (-1 + 2x) -2 + 4x = -1 + 2x + -2 Reorder the terms: -2 + 4x = -1 + -2 + 2x Combine like terms: -1 + -2 = -3 -2 + 4x = -3 + 2x Solving -2 + 4x = -3 + 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. -2 + 4x + -2x = -3 + 2x + -2x Combine like terms: 4x + -2x = 2x -2 + 2x = -3 + 2x + -2x Combine like terms: 2x + -2x = 0 -2 + 2x = -3 + 0 -2 + 2x = -3 Add '2' to each side of the equation. -2 + 2 + 2x = -3 + 2 Combine like terms: -2 + 2 = 0 0 + 2x = -3 + 2 2x = -3 + 2 Combine like terms: -3 + 2 = -1 2x = -1 Divide each side by '2'. x = -0.5 Simplifying x = -0.5
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