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Simplifying (4x + -6) + 117 + (7x + -30) = 180 Reorder the terms: (-6 + 4x) + 117 + (7x + -30) = 180 Remove parenthesis around (-6 + 4x) -6 + 4x + 117 + (7x + -30) = 180 Reorder the terms: -6 + 4x + 117 + (-30 + 7x) = 180 Remove parenthesis around (-30 + 7x) -6 + 4x + 117 + -30 + 7x = 180 Reorder the terms: -6 + 117 + -30 + 4x + 7x = 180 Combine like terms: -6 + 117 = 111 111 + -30 + 4x + 7x = 180 Combine like terms: 111 + -30 = 81 81 + 4x + 7x = 180 Combine like terms: 4x + 7x = 11x 81 + 11x = 180 Solving 81 + 11x = 180 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-81' to each side of the equation. 81 + -81 + 11x = 180 + -81 Combine like terms: 81 + -81 = 0 0 + 11x = 180 + -81 11x = 180 + -81 Combine like terms: 180 + -81 = 99 11x = 99 Divide each side by '11'. x = 9 Simplifying x = 9
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