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Simplifying (4x + 5) + (6x + -45) = 180 Reorder the terms: (5 + 4x) + (6x + -45) = 180 Remove parenthesis around (5 + 4x) 5 + 4x + (6x + -45) = 180 Reorder the terms: 5 + 4x + (-45 + 6x) = 180 Remove parenthesis around (-45 + 6x) 5 + 4x + -45 + 6x = 180 Reorder the terms: 5 + -45 + 4x + 6x = 180 Combine like terms: 5 + -45 = -40 -40 + 4x + 6x = 180 Combine like terms: 4x + 6x = 10x -40 + 10x = 180 Solving -40 + 10x = 180 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '40' to each side of the equation. -40 + 40 + 10x = 180 + 40 Combine like terms: -40 + 40 = 0 0 + 10x = 180 + 40 10x = 180 + 40 Combine like terms: 180 + 40 = 220 10x = 220 Divide each side by '10'. x = 22 Simplifying x = 22
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