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Simplifying (3x + -5y) + -1(2x + 2) = 1 Remove parenthesis around (3x + -5y) 3x + -5y + -1(2x + 2) = 1 Reorder the terms: 3x + -5y + -1(2 + 2x) = 1 3x + -5y + (2 * -1 + 2x * -1) = 1 3x + -5y + (-2 + -2x) = 1 Reorder the terms: -2 + 3x + -2x + -5y = 1 Combine like terms: 3x + -2x = 1x -2 + 1x + -5y = 1 Solving -2 + 1x + -5y = 1 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 + 1x + 2 + -5y = 1 + 2 Reorder the terms: -2 + 2 + 1x + -5y = 1 + 2 Combine like terms: -2 + 2 = 0 0 + 1x + -5y = 1 + 2 1x + -5y = 1 + 2 Combine like terms: 1 + 2 = 3 1x + -5y = 3 Add '5y' to each side of the equation. 1x + -5y + 5y = 3 + 5y Combine like terms: -5y + 5y = 0 1x + 0 = 3 + 5y 1x = 3 + 5y Divide each side by '1'. x = 3 + 5y Simplifying x = 3 + 5y
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