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Simplifying 3x + -1(y + -5) = 3y + 10 Reorder the terms: 3x + -1(-5 + y) = 3y + 10 3x + (-5 * -1 + y * -1) = 3y + 10 3x + (5 + -1y) = 3y + 10 Reorder the terms: 5 + 3x + -1y = 3y + 10 Reorder the terms: 5 + 3x + -1y = 10 + 3y Solving 5 + 3x + -1y = 10 + 3y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + 3x + -5 + -1y = 10 + -5 + 3y Reorder the terms: 5 + -5 + 3x + -1y = 10 + -5 + 3y Combine like terms: 5 + -5 = 0 0 + 3x + -1y = 10 + -5 + 3y 3x + -1y = 10 + -5 + 3y Combine like terms: 10 + -5 = 5 3x + -1y = 5 + 3y Add 'y' to each side of the equation. 3x + -1y + y = 5 + 3y + y Combine like terms: -1y + y = 0 3x + 0 = 5 + 3y + y 3x = 5 + 3y + y Combine like terms: 3y + y = 4y 3x = 5 + 4y Divide each side by '3'. x = 1.666666667 + 1.333333333y Simplifying x = 1.666666667 + 1.333333333y
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