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