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Simplifying (7x + -21) + (-5x + 75) = 180 Reorder the terms: (-21 + 7x) + (-5x + 75) = 180 Remove parenthesis around (-21 + 7x) -21 + 7x + (-5x + 75) = 180 Reorder the terms: -21 + 7x + (75 + -5x) = 180 Remove parenthesis around (75 + -5x) -21 + 7x + 75 + -5x = 180 Reorder the terms: -21 + 75 + 7x + -5x = 180 Combine like terms: -21 + 75 = 54 54 + 7x + -5x = 180 Combine like terms: 7x + -5x = 2x 54 + 2x = 180 Solving 54 + 2x = 180 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-54' to each side of the equation. 54 + -54 + 2x = 180 + -54 Combine like terms: 54 + -54 = 0 0 + 2x = 180 + -54 2x = 180 + -54 Combine like terms: 180 + -54 = 126 2x = 126 Divide each side by '2'. x = 63 Simplifying x = 63
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