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Simplifying (2x + 3y + -4) + -1(-5x + -2) = 0 Reorder the terms: (-4 + 2x + 3y) + -1(-5x + -2) = 0 Remove parenthesis around (-4 + 2x + 3y) -4 + 2x + 3y + -1(-5x + -2) = 0 Reorder the terms: -4 + 2x + 3y + -1(-2 + -5x) = 0 -4 + 2x + 3y + (-2 * -1 + -5x * -1) = 0 -4 + 2x + 3y + (2 + 5x) = 0 Reorder the terms: -4 + 2 + 2x + 5x + 3y = 0 Combine like terms: -4 + 2 = -2 -2 + 2x + 5x + 3y = 0 Combine like terms: 2x + 5x = 7x -2 + 7x + 3y = 0 Solving -2 + 7x + 3y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 7x + 2 + 3y = 0 + 2 Reorder the terms: -2 + 2 + 7x + 3y = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 7x + 3y = 0 + 2 7x + 3y = 0 + 2 Combine like terms: 0 + 2 = 2 7x + 3y = 2 Add '-3y' to each side of the equation. 7x + 3y + -3y = 2 + -3y Combine like terms: 3y + -3y = 0 7x + 0 = 2 + -3y 7x = 2 + -3y Divide each side by '7'. x = 0.2857142857 + -0.4285714286y Simplifying x = 0.2857142857 + -0.4285714286y
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