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Simplifying 7(3 + -1x) + -5(3 + -2y) + -4(9 + -1y) = 3(y + 5) (3 * 7 + -1x * 7) + -5(3 + -2y) + -4(9 + -1y) = 3(y + 5) (21 + -7x) + -5(3 + -2y) + -4(9 + -1y) = 3(y + 5) 21 + -7x + (3 * -5 + -2y * -5) + -4(9 + -1y) = 3(y + 5) 21 + -7x + (-15 + 10y) + -4(9 + -1y) = 3(y + 5) 21 + -7x + -15 + 10y + (9 * -4 + -1y * -4) = 3(y + 5) 21 + -7x + -15 + 10y + (-36 + 4y) = 3(y + 5) Reorder the terms: 21 + -15 + -36 + -7x + 10y + 4y = 3(y + 5) Combine like terms: 21 + -15 = 6 6 + -36 + -7x + 10y + 4y = 3(y + 5) Combine like terms: 6 + -36 = -30 -30 + -7x + 10y + 4y = 3(y + 5) Combine like terms: 10y + 4y = 14y -30 + -7x + 14y = 3(y + 5) Reorder the terms: -30 + -7x + 14y = 3(5 + y) -30 + -7x + 14y = (5 * 3 + y * 3) -30 + -7x + 14y = (15 + 3y) Solving -30 + -7x + 14y = 15 + 3y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '30' to each side of the equation. -30 + -7x + 30 + 14y = 15 + 30 + 3y Reorder the terms: -30 + 30 + -7x + 14y = 15 + 30 + 3y Combine like terms: -30 + 30 = 0 0 + -7x + 14y = 15 + 30 + 3y -7x + 14y = 15 + 30 + 3y Combine like terms: 15 + 30 = 45 -7x + 14y = 45 + 3y Add '-14y' to each side of the equation. -7x + 14y + -14y = 45 + 3y + -14y Combine like terms: 14y + -14y = 0 -7x + 0 = 45 + 3y + -14y -7x = 45 + 3y + -14y Combine like terms: 3y + -14y = -11y -7x = 45 + -11y Divide each side by '-7'. x = -6.428571429 + 1.571428571y Simplifying x = -6.428571429 + 1.571428571y
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