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Simplifying (4x + -5) + (2x + 20) = 45 Reorder the terms: (-5 + 4x) + (2x + 20) = 45 Remove parenthesis around (-5 + 4x) -5 + 4x + (2x + 20) = 45 Reorder the terms: -5 + 4x + (20 + 2x) = 45 Remove parenthesis around (20 + 2x) -5 + 4x + 20 + 2x = 45 Reorder the terms: -5 + 20 + 4x + 2x = 45 Combine like terms: -5 + 20 = 15 15 + 4x + 2x = 45 Combine like terms: 4x + 2x = 6x 15 + 6x = 45 Solving 15 + 6x = 45 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + 6x = 45 + -15 Combine like terms: 15 + -15 = 0 0 + 6x = 45 + -15 6x = 45 + -15 Combine like terms: 45 + -15 = 30 6x = 30 Divide each side by '6'. x = 5 Simplifying x = 5
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