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Simplifying x + (x + 10) + (2x + -5) + (2x + -35) + 120 = 540 Reorder the terms: x + (10 + x) + (2x + -5) + (2x + -35) + 120 = 540 Remove parenthesis around (10 + x) x + 10 + x + (2x + -5) + (2x + -35) + 120 = 540 Reorder the terms: x + 10 + x + (-5 + 2x) + (2x + -35) + 120 = 540 Remove parenthesis around (-5 + 2x) x + 10 + x + -5 + 2x + (2x + -35) + 120 = 540 Reorder the terms: x + 10 + x + -5 + 2x + (-35 + 2x) + 120 = 540 Remove parenthesis around (-35 + 2x) x + 10 + x + -5 + 2x + -35 + 2x + 120 = 540 Reorder the terms: 10 + -5 + -35 + 120 + x + x + 2x + 2x = 540 Combine like terms: 10 + -5 = 5 5 + -35 + 120 + x + x + 2x + 2x = 540 Combine like terms: 5 + -35 = -30 -30 + 120 + x + x + 2x + 2x = 540 Combine like terms: -30 + 120 = 90 90 + x + x + 2x + 2x = 540 Combine like terms: x + x = 2x 90 + 2x + 2x + 2x = 540 Combine like terms: 2x + 2x = 4x 90 + 4x + 2x = 540 Combine like terms: 4x + 2x = 6x 90 + 6x = 540 Solving 90 + 6x = 540 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-90' to each side of the equation. 90 + -90 + 6x = 540 + -90 Combine like terms: 90 + -90 = 0 0 + 6x = 540 + -90 6x = 540 + -90 Combine like terms: 540 + -90 = 450 6x = 450 Divide each side by '6'. x = 75 Simplifying x = 75
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