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Simplifying (x + -45) + (x + -45) + (x + -45) + x + x = 540 Reorder the terms: (-45 + x) + (x + -45) + (x + -45) + x + x = 540 Remove parenthesis around (-45 + x) -45 + x + (x + -45) + (x + -45) + x + x = 540 Reorder the terms: -45 + x + (-45 + x) + (x + -45) + x + x = 540 Remove parenthesis around (-45 + x) -45 + x + -45 + x + (x + -45) + x + x = 540 Reorder the terms: -45 + x + -45 + x + (-45 + x) + x + x = 540 Remove parenthesis around (-45 + x) -45 + x + -45 + x + -45 + x + x + x = 540 Reorder the terms: -45 + -45 + -45 + x + x + x + x + x = 540 Combine like terms: -45 + -45 = -90 -90 + -45 + x + x + x + x + x = 540 Combine like terms: -90 + -45 = -135 -135 + x + x + x + x + x = 540 Combine like terms: x + x = 2x -135 + 2x + x + x + x = 540 Combine like terms: 2x + x = 3x -135 + 3x + x + x = 540 Combine like terms: 3x + x = 4x -135 + 4x + x = 540 Combine like terms: 4x + x = 5x -135 + 5x = 540 Solving -135 + 5x = 540 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '135' to each side of the equation. -135 + 135 + 5x = 540 + 135 Combine like terms: -135 + 135 = 0 0 + 5x = 540 + 135 5x = 540 + 135 Combine like terms: 540 + 135 = 675 5x = 675 Divide each side by '5'. x = 135 Simplifying x = 135
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