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Simplifying 130 + (x + -5) + (x + 30) + (x + 55) + 75 = 540 Reorder the terms: 130 + (-5 + x) + (x + 30) + (x + 55) + 75 = 540 Remove parenthesis around (-5 + x) 130 + -5 + x + (x + 30) + (x + 55) + 75 = 540 Reorder the terms: 130 + -5 + x + (30 + x) + (x + 55) + 75 = 540 Remove parenthesis around (30 + x) 130 + -5 + x + 30 + x + (x + 55) + 75 = 540 Reorder the terms: 130 + -5 + x + 30 + x + (55 + x) + 75 = 540 Remove parenthesis around (55 + x) 130 + -5 + x + 30 + x + 55 + x + 75 = 540 Reorder the terms: 130 + -5 + 30 + 55 + 75 + x + x + x = 540 Combine like terms: 130 + -5 = 125 125 + 30 + 55 + 75 + x + x + x = 540 Combine like terms: 125 + 30 = 155 155 + 55 + 75 + x + x + x = 540 Combine like terms: 155 + 55 = 210 210 + 75 + x + x + x = 540 Combine like terms: 210 + 75 = 285 285 + x + x + x = 540 Combine like terms: x + x = 2x 285 + 2x + x = 540 Combine like terms: 2x + x = 3x 285 + 3x = 540 Solving 285 + 3x = 540 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-285' to each side of the equation. 285 + -285 + 3x = 540 + -285 Combine like terms: 285 + -285 = 0 0 + 3x = 540 + -285 3x = 540 + -285 Combine like terms: 540 + -285 = 255 3x = 255 Divide each side by '3'. x = 85 Simplifying x = 85
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