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Simplifying (x + 3y) + -1(3x + -4y) = 6 + -5 Remove parenthesis around (x + 3y) x + 3y + -1(3x + -4y) = 6 + -5 x + 3y + (3x * -1 + -4y * -1) = 6 + -5 x + 3y + (-3x + 4y) = 6 + -5 Reorder the terms: x + -3x + 3y + 4y = 6 + -5 Combine like terms: x + -3x = -2x -2x + 3y + 4y = 6 + -5 Combine like terms: 3y + 4y = 7y -2x + 7y = 6 + -5 Combine like terms: 6 + -5 = 1 -2x + 7y = 1 Solving -2x + 7y = 1 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. -2x + 7y + -7y = 1 + -7y Combine like terms: 7y + -7y = 0 -2x + 0 = 1 + -7y -2x = 1 + -7y Divide each side by '-2'. x = -0.5 + 3.5y Simplifying x = -0.5 + 3.5y
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