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Simplifying 2(x + -1) + -1(y + -7) = 13 Reorder the terms: 2(-1 + x) + -1(y + -7) = 13 (-1 * 2 + x * 2) + -1(y + -7) = 13 (-2 + 2x) + -1(y + -7) = 13 Reorder the terms: -2 + 2x + -1(-7 + y) = 13 -2 + 2x + (-7 * -1 + y * -1) = 13 -2 + 2x + (7 + -1y) = 13 Reorder the terms: -2 + 7 + 2x + -1y = 13 Combine like terms: -2 + 7 = 5 5 + 2x + -1y = 13 Solving 5 + 2x + -1y = 13 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 + 2x + -5 + -1y = 13 + -5 Reorder the terms: 5 + -5 + 2x + -1y = 13 + -5 Combine like terms: 5 + -5 = 0 0 + 2x + -1y = 13 + -5 2x + -1y = 13 + -5 Combine like terms: 13 + -5 = 8 2x + -1y = 8 Add 'y' to each side of the equation. 2x + -1y + y = 8 + y Combine like terms: -1y + y = 0 2x + 0 = 8 + y 2x = 8 + y Divide each side by '2'. x = 4 + 0.5y Simplifying x = 4 + 0.5y
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