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Simplifying (4x + -5) + (x + 5) = 3x + 5 Reorder the terms: (-5 + 4x) + (x + 5) = 3x + 5 Remove parenthesis around (-5 + 4x) -5 + 4x + (x + 5) = 3x + 5 Reorder the terms: -5 + 4x + (5 + x) = 3x + 5 Remove parenthesis around (5 + x) -5 + 4x + 5 + x = 3x + 5 Reorder the terms: -5 + 5 + 4x + x = 3x + 5 Combine like terms: -5 + 5 = 0 0 + 4x + x = 3x + 5 4x + x = 3x + 5 Combine like terms: 4x + x = 5x 5x = 3x + 5 Reorder the terms: 5x = 5 + 3x Solving 5x = 5 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 5x + -3x = 5 + 3x + -3x Combine like terms: 5x + -3x = 2x 2x = 5 + 3x + -3x Combine like terms: 3x + -3x = 0 2x = 5 + 0 2x = 5 Divide each side by '2'. x = 2.5 Simplifying x = 2.5
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