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Simplifying (x + -10) + (4x + -25) + (x + 5) = 180 Reorder the terms: (-10 + x) + (4x + -25) + (x + 5) = 180 Remove parenthesis around (-10 + x) -10 + x + (4x + -25) + (x + 5) = 180 Reorder the terms: -10 + x + (-25 + 4x) + (x + 5) = 180 Remove parenthesis around (-25 + 4x) -10 + x + -25 + 4x + (x + 5) = 180 Reorder the terms: -10 + x + -25 + 4x + (5 + x) = 180 Remove parenthesis around (5 + x) -10 + x + -25 + 4x + 5 + x = 180 Reorder the terms: -10 + -25 + 5 + x + 4x + x = 180 Combine like terms: -10 + -25 = -35 -35 + 5 + x + 4x + x = 180 Combine like terms: -35 + 5 = -30 -30 + x + 4x + x = 180 Combine like terms: x + 4x = 5x -30 + 5x + x = 180 Combine like terms: 5x + x = 6x -30 + 6x = 180 Solving -30 + 6x = 180 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '30' to each side of the equation. -30 + 30 + 6x = 180 + 30 Combine like terms: -30 + 30 = 0 0 + 6x = 180 + 30 6x = 180 + 30 Combine like terms: 180 + 30 = 210 6x = 210 Divide each side by '6'. x = 35 Simplifying x = 35
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