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Simplifying 130 + (x + -5) + (x + 30) + (x + -35) + 75 = 540 Reorder the terms: 130 + (-5 + x) + (x + 30) + (x + -35) + 75 = 540 Remove parenthesis around (-5 + x) 130 + -5 + x + (x + 30) + (x + -35) + 75 = 540 Reorder the terms: 130 + -5 + x + (30 + x) + (x + -35) + 75 = 540 Remove parenthesis around (30 + x) 130 + -5 + x + 30 + x + (x + -35) + 75 = 540 Reorder the terms: 130 + -5 + x + 30 + x + (-35 + x) + 75 = 540 Remove parenthesis around (-35 + x) 130 + -5 + x + 30 + x + -35 + x + 75 = 540 Reorder the terms: 130 + -5 + 30 + -35 + 75 + x + x + x = 540 Combine like terms: 130 + -5 = 125 125 + 30 + -35 + 75 + x + x + x = 540 Combine like terms: 125 + 30 = 155 155 + -35 + 75 + x + x + x = 540 Combine like terms: 155 + -35 = 120 120 + 75 + x + x + x = 540 Combine like terms: 120 + 75 = 195 195 + x + x + x = 540 Combine like terms: x + x = 2x 195 + 2x + x = 540 Combine like terms: 2x + x = 3x 195 + 3x = 540 Solving 195 + 3x = 540 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-195' to each side of the equation. 195 + -195 + 3x = 540 + -195 Combine like terms: 195 + -195 = 0 0 + 3x = 540 + -195 3x = 540 + -195 Combine like terms: 540 + -195 = 345 3x = 345 Divide each side by '3'. x = 115 Simplifying x = 115
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