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