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Simplifying 3x + 2(y + -1) = 4(y + 2) + -1(y + 5) Reorder the terms: 3x + 2(-1 + y) = 4(y + 2) + -1(y + 5) 3x + (-1 * 2 + y * 2) = 4(y + 2) + -1(y + 5) 3x + (-2 + 2y) = 4(y + 2) + -1(y + 5) Reorder the terms: -2 + 3x + 2y = 4(y + 2) + -1(y + 5) Reorder the terms: -2 + 3x + 2y = 4(2 + y) + -1(y + 5) -2 + 3x + 2y = (2 * 4 + y * 4) + -1(y + 5) -2 + 3x + 2y = (8 + 4y) + -1(y + 5) Reorder the terms: -2 + 3x + 2y = 8 + 4y + -1(5 + y) -2 + 3x + 2y = 8 + 4y + (5 * -1 + y * -1) -2 + 3x + 2y = 8 + 4y + (-5 + -1y) Reorder the terms: -2 + 3x + 2y = 8 + -5 + 4y + -1y Combine like terms: 8 + -5 = 3 -2 + 3x + 2y = 3 + 4y + -1y Combine like terms: 4y + -1y = 3y -2 + 3x + 2y = 3 + 3y Solving -2 + 3x + 2y = 3 + 3y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 3x + 2 + 2y = 3 + 2 + 3y Reorder the terms: -2 + 2 + 3x + 2y = 3 + 2 + 3y Combine like terms: -2 + 2 = 0 0 + 3x + 2y = 3 + 2 + 3y 3x + 2y = 3 + 2 + 3y Combine like terms: 3 + 2 = 5 3x + 2y = 5 + 3y Add '-2y' to each side of the equation. 3x + 2y + -2y = 5 + 3y + -2y Combine like terms: 2y + -2y = 0 3x + 0 = 5 + 3y + -2y 3x = 5 + 3y + -2y Combine like terms: 3y + -2y = 1y 3x = 5 + 1y Divide each side by '3'. x = 1.666666667 + 0.3333333333y Simplifying x = 1.666666667 + 0.3333333333y
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