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Simplifying 85 + x + (3x + -6) + 101 + 120 = 540 Reorder the terms: 85 + x + (-6 + 3x) + 101 + 120 = 540 Remove parenthesis around (-6 + 3x) 85 + x + -6 + 3x + 101 + 120 = 540 Reorder the terms: 85 + -6 + 101 + 120 + x + 3x = 540 Combine like terms: 85 + -6 = 79 79 + 101 + 120 + x + 3x = 540 Combine like terms: 79 + 101 = 180 180 + 120 + x + 3x = 540 Combine like terms: 180 + 120 = 300 300 + x + 3x = 540 Combine like terms: x + 3x = 4x 300 + 4x = 540 Solving 300 + 4x = 540 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-300' to each side of the equation. 300 + -300 + 4x = 540 + -300 Combine like terms: 300 + -300 = 0 0 + 4x = 540 + -300 4x = 540 + -300 Combine like terms: 540 + -300 = 240 4x = 240 Divide each side by '4'. x = 60 Simplifying x = 60
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