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Simplifying 4y + 12x + 2 + 5x + -7 + 13x + 4 = 180 Reorder the terms: 2 + -7 + 4 + 12x + 5x + 13x + 4y = 180 Combine like terms: 2 + -7 = -5 -5 + 4 + 12x + 5x + 13x + 4y = 180 Combine like terms: -5 + 4 = -1 -1 + 12x + 5x + 13x + 4y = 180 Combine like terms: 12x + 5x = 17x -1 + 17x + 13x + 4y = 180 Combine like terms: 17x + 13x = 30x -1 + 30x + 4y = 180 Solving -1 + 30x + 4y = 180 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 30x + 1 + 4y = 180 + 1 Reorder the terms: -1 + 1 + 30x + 4y = 180 + 1 Combine like terms: -1 + 1 = 0 0 + 30x + 4y = 180 + 1 30x + 4y = 180 + 1 Combine like terms: 180 + 1 = 181 30x + 4y = 181 Add '-4y' to each side of the equation. 30x + 4y + -4y = 181 + -4y Combine like terms: 4y + -4y = 0 30x + 0 = 181 + -4y 30x = 181 + -4y Divide each side by '30'. x = 6.033333333 + -0.1333333333y Simplifying x = 6.033333333 + -0.1333333333y
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