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Simplifying (2x + -5y + 6) + -1(4x + -3y + 7) = 0 Reorder the terms: (6 + 2x + -5y) + -1(4x + -3y + 7) = 0 Remove parenthesis around (6 + 2x + -5y) 6 + 2x + -5y + -1(4x + -3y + 7) = 0 Reorder the terms: 6 + 2x + -5y + -1(7 + 4x + -3y) = 0 6 + 2x + -5y + (7 * -1 + 4x * -1 + -3y * -1) = 0 6 + 2x + -5y + (-7 + -4x + 3y) = 0 Reorder the terms: 6 + -7 + 2x + -4x + -5y + 3y = 0 Combine like terms: 6 + -7 = -1 -1 + 2x + -4x + -5y + 3y = 0 Combine like terms: 2x + -4x = -2x -1 + -2x + -5y + 3y = 0 Combine like terms: -5y + 3y = -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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