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Simplifying x + x + (x + -45) + (x + -45) + (x + -35) = 540 Reorder the terms: x + x + (-45 + x) + (x + -45) + (x + -35) = 540 Remove parenthesis around (-45 + x) x + x + -45 + x + (x + -45) + (x + -35) = 540 Reorder the terms: x + x + -45 + x + (-45 + x) + (x + -35) = 540 Remove parenthesis around (-45 + x) x + x + -45 + x + -45 + x + (x + -35) = 540 Reorder the terms: x + x + -45 + x + -45 + x + (-35 + x) = 540 Remove parenthesis around (-35 + x) x + x + -45 + x + -45 + x + -35 + x = 540 Reorder the terms: -45 + -45 + -35 + x + x + x + x + x = 540 Combine like terms: -45 + -45 = -90 -90 + -35 + x + x + x + x + x = 540 Combine like terms: -90 + -35 = -125 -125 + x + x + x + x + x = 540 Combine like terms: x + x = 2x -125 + 2x + x + x + x = 540 Combine like terms: 2x + x = 3x -125 + 3x + x + x = 540 Combine like terms: 3x + x = 4x -125 + 4x + x = 540 Combine like terms: 4x + x = 5x -125 + 5x = 540 Solving -125 + 5x = 540 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '125' to each side of the equation. -125 + 125 + 5x = 540 + 125 Combine like terms: -125 + 125 = 0 0 + 5x = 540 + 125 5x = 540 + 125 Combine like terms: 540 + 125 = 665 5x = 665 Divide each side by '5'. x = 133 Simplifying x = 133
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