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