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Simplifying (13x + -2) + (7x + 19) + (11y + -6) = 180 Reorder the terms: (-2 + 13x) + (7x + 19) + (11y + -6) = 180 Remove parenthesis around (-2 + 13x) -2 + 13x + (7x + 19) + (11y + -6) = 180 Reorder the terms: -2 + 13x + (19 + 7x) + (11y + -6) = 180 Remove parenthesis around (19 + 7x) -2 + 13x + 19 + 7x + (11y + -6) = 180 Reorder the terms: -2 + 13x + 19 + 7x + (-6 + 11y) = 180 Remove parenthesis around (-6 + 11y) -2 + 13x + 19 + 7x + -6 + 11y = 180 Reorder the terms: -2 + 19 + -6 + 13x + 7x + 11y = 180 Combine like terms: -2 + 19 = 17 17 + -6 + 13x + 7x + 11y = 180 Combine like terms: 17 + -6 = 11 11 + 13x + 7x + 11y = 180 Combine like terms: 13x + 7x = 20x 11 + 20x + 11y = 180 Solving 11 + 20x + 11y = 180 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + 20x + -11 + 11y = 180 + -11 Reorder the terms: 11 + -11 + 20x + 11y = 180 + -11 Combine like terms: 11 + -11 = 0 0 + 20x + 11y = 180 + -11 20x + 11y = 180 + -11 Combine like terms: 180 + -11 = 169 20x + 11y = 169 Add '-11y' to each side of the equation. 20x + 11y + -11y = 169 + -11y Combine like terms: 11y + -11y = 0 20x + 0 = 169 + -11y 20x = 169 + -11y Divide each side by '20'. x = 8.45 + -0.55y Simplifying x = 8.45 + -0.55y
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