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Simplifying (5x + -4y + -6) + -1(4x + -1) = 0 Reorder the terms: (-6 + 5x + -4y) + -1(4x + -1) = 0 Remove parenthesis around (-6 + 5x + -4y) -6 + 5x + -4y + -1(4x + -1) = 0 Reorder the terms: -6 + 5x + -4y + -1(-1 + 4x) = 0 -6 + 5x + -4y + (-1 * -1 + 4x * -1) = 0 -6 + 5x + -4y + (1 + -4x) = 0 Reorder the terms: -6 + 1 + 5x + -4x + -4y = 0 Combine like terms: -6 + 1 = -5 -5 + 5x + -4x + -4y = 0 Combine like terms: 5x + -4x = 1x -5 + 1x + -4y = 0 Solving -5 + 1x + -4y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 1x + 5 + -4y = 0 + 5 Reorder the terms: -5 + 5 + 1x + -4y = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 1x + -4y = 0 + 5 1x + -4y = 0 + 5 Combine like terms: 0 + 5 = 5 1x + -4y = 5 Add '4y' to each side of the equation. 1x + -4y + 4y = 5 + 4y Combine like terms: -4y + 4y = 0 1x + 0 = 5 + 4y 1x = 5 + 4y Divide each side by '1'. x = 5 + 4y Simplifying x = 5 + 4y
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