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Simplifying (-2x + 4y) + -1(2x + -3y) = 2 + -1(-1) Remove parenthesis around (-2x + 4y) -2x + 4y + -1(2x + -3y) = 2 + -1(-1) -2x + 4y + (2x * -1 + -3y * -1) = 2 + -1(-1) -2x + 4y + (-2x + 3y) = 2 + -1(-1) Reorder the terms: -2x + -2x + 4y + 3y = 2 + -1(-1) Combine like terms: -2x + -2x = -4x -4x + 4y + 3y = 2 + -1(-1) Combine like terms: 4y + 3y = 7y -4x + 7y = 2 + -1(-1) Multiply -1 * -1 -4x + 7y = 2 + 1 Combine like terms: 2 + 1 = 3 -4x + 7y = 3 Solving -4x + 7y = 3 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7y' to each side of the equation. -4x + 7y + -7y = 3 + -7y Combine like terms: 7y + -7y = 0 -4x + 0 = 3 + -7y -4x = 3 + -7y Divide each side by '-4'. x = -0.75 + 1.75y Simplifying x = -0.75 + 1.75y
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