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Simplifying (5x + 7y + 49) + 3x + -2y + 30 = 180 Reorder the terms: (49 + 5x + 7y) + 3x + -2y + 30 = 180 Remove parenthesis around (49 + 5x + 7y) 49 + 5x + 7y + 3x + -2y + 30 = 180 Reorder the terms: 49 + 30 + 5x + 3x + 7y + -2y = 180 Combine like terms: 49 + 30 = 79 79 + 5x + 3x + 7y + -2y = 180 Combine like terms: 5x + 3x = 8x 79 + 8x + 7y + -2y = 180 Combine like terms: 7y + -2y = 5y 79 + 8x + 5y = 180 Solving 79 + 8x + 5y = 180 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-79' to each side of the equation. 79 + 8x + -79 + 5y = 180 + -79 Reorder the terms: 79 + -79 + 8x + 5y = 180 + -79 Combine like terms: 79 + -79 = 0 0 + 8x + 5y = 180 + -79 8x + 5y = 180 + -79 Combine like terms: 180 + -79 = 101 8x + 5y = 101 Add '-5y' to each side of the equation. 8x + 5y + -5y = 101 + -5y Combine like terms: 5y + -5y = 0 8x + 0 = 101 + -5y 8x = 101 + -5y Divide each side by '8'. x = 12.625 + -0.625y Simplifying x = 12.625 + -0.625y
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