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Simplifying 3(x + -2) + 5(y + -1) = 19 Reorder the terms: 3(-2 + x) + 5(y + -1) = 19 (-2 * 3 + x * 3) + 5(y + -1) = 19 (-6 + 3x) + 5(y + -1) = 19 Reorder the terms: -6 + 3x + 5(-1 + y) = 19 -6 + 3x + (-1 * 5 + y * 5) = 19 -6 + 3x + (-5 + 5y) = 19 Reorder the terms: -6 + -5 + 3x + 5y = 19 Combine like terms: -6 + -5 = -11 -11 + 3x + 5y = 19 Solving -11 + 3x + 5y = 19 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 3x + 11 + 5y = 19 + 11 Reorder the terms: -11 + 11 + 3x + 5y = 19 + 11 Combine like terms: -11 + 11 = 0 0 + 3x + 5y = 19 + 11 3x + 5y = 19 + 11 Combine like terms: 19 + 11 = 30 3x + 5y = 30 Add '-5y' to each side of the equation. 3x + 5y + -5y = 30 + -5y Combine like terms: 5y + -5y = 0 3x + 0 = 30 + -5y 3x = 30 + -5y Divide each side by '3'. x = 10 + -1.666666667y Simplifying x = 10 + -1.666666667y
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