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Simplifying (2x + -3y + 4) + -1(4x + -5y + 7) = 0 Reorder the terms: (4 + 2x + -3y) + -1(4x + -5y + 7) = 0 Remove parenthesis around (4 + 2x + -3y) 4 + 2x + -3y + -1(4x + -5y + 7) = 0 Reorder the terms: 4 + 2x + -3y + -1(7 + 4x + -5y) = 0 4 + 2x + -3y + (7 * -1 + 4x * -1 + -5y * -1) = 0 4 + 2x + -3y + (-7 + -4x + 5y) = 0 Reorder the terms: 4 + -7 + 2x + -4x + -3y + 5y = 0 Combine like terms: 4 + -7 = -3 -3 + 2x + -4x + -3y + 5y = 0 Combine like terms: 2x + -4x = -2x -3 + -2x + -3y + 5y = 0 Combine like terms: -3y + 5y = 2y -3 + -2x + 2y = 0 Solving -3 + -2x + 2y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + -2x + 3 + 2y = 0 + 3 Reorder the terms: -3 + 3 + -2x + 2y = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -2x + 2y = 0 + 3 -2x + 2y = 0 + 3 Combine like terms: 0 + 3 = 3 -2x + 2y = 3 Add '-2y' to each side of the equation. -2x + 2y + -2y = 3 + -2y Combine like terms: 2y + -2y = 0 -2x + 0 = 3 + -2y -2x = 3 + -2y Divide each side by '-2'. x = -1.5 + y Simplifying x = -1.5 + y
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