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Simplifying (2x + 7) + (12y + 1) + (3x + -7) = 180 Reorder the terms: (7 + 2x) + (12y + 1) + (3x + -7) = 180 Remove parenthesis around (7 + 2x) 7 + 2x + (12y + 1) + (3x + -7) = 180 Reorder the terms: 7 + 2x + (1 + 12y) + (3x + -7) = 180 Remove parenthesis around (1 + 12y) 7 + 2x + 1 + 12y + (3x + -7) = 180 Reorder the terms: 7 + 2x + 1 + 12y + (-7 + 3x) = 180 Remove parenthesis around (-7 + 3x) 7 + 2x + 1 + 12y + -7 + 3x = 180 Reorder the terms: 7 + 1 + -7 + 2x + 3x + 12y = 180 Combine like terms: 7 + 1 = 8 8 + -7 + 2x + 3x + 12y = 180 Combine like terms: 8 + -7 = 1 1 + 2x + 3x + 12y = 180 Combine like terms: 2x + 3x = 5x 1 + 5x + 12y = 180 Solving 1 + 5x + 12y = 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 + 5x + -1 + 12y = 180 + -1 Reorder the terms: 1 + -1 + 5x + 12y = 180 + -1 Combine like terms: 1 + -1 = 0 0 + 5x + 12y = 180 + -1 5x + 12y = 180 + -1 Combine like terms: 180 + -1 = 179 5x + 12y = 179 Add '-12y' to each side of the equation. 5x + 12y + -12y = 179 + -12y Combine like terms: 12y + -12y = 0 5x + 0 = 179 + -12y 5x = 179 + -12y Divide each side by '5'. x = 35.8 + -2.4y Simplifying x = 35.8 + -2.4y
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