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Simplifying 180 = (5x + 3y) + -1(3x + 20) + -1(10y + 30) Remove parenthesis around (5x + 3y) 180 = 5x + 3y + -1(3x + 20) + -1(10y + 30) Reorder the terms: 180 = 5x + 3y + -1(20 + 3x) + -1(10y + 30) 180 = 5x + 3y + (20 * -1 + 3x * -1) + -1(10y + 30) 180 = 5x + 3y + (-20 + -3x) + -1(10y + 30) Reorder the terms: 180 = 5x + 3y + -20 + -3x + -1(30 + 10y) 180 = 5x + 3y + -20 + -3x + (30 * -1 + 10y * -1) 180 = 5x + 3y + -20 + -3x + (-30 + -10y) Reorder the terms: 180 = -20 + -30 + 5x + -3x + 3y + -10y Combine like terms: -20 + -30 = -50 180 = -50 + 5x + -3x + 3y + -10y Combine like terms: 5x + -3x = 2x 180 = -50 + 2x + 3y + -10y Combine like terms: 3y + -10y = -7y 180 = -50 + 2x + -7y Solving 180 = -50 + 2x + -7y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 180 + -2x = -50 + 2x + -2x + -7y Combine like terms: 2x + -2x = 0 180 + -2x = -50 + 0 + -7y 180 + -2x = -50 + -7y Add '-180' to each side of the equation. 180 + -180 + -2x = -50 + -180 + -7y Combine like terms: 180 + -180 = 0 0 + -2x = -50 + -180 + -7y -2x = -50 + -180 + -7y Combine like terms: -50 + -180 = -230 -2x = -230 + -7y Divide each side by '-2'. x = 115 + 3.5y Simplifying x = 115 + 3.5y
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