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Simplifying (5x + -7y + 2) + -1(-3x + -4y + 4) = 0 Reorder the terms: (2 + 5x + -7y) + -1(-3x + -4y + 4) = 0 Remove parenthesis around (2 + 5x + -7y) 2 + 5x + -7y + -1(-3x + -4y + 4) = 0 Reorder the terms: 2 + 5x + -7y + -1(4 + -3x + -4y) = 0 2 + 5x + -7y + (4 * -1 + -3x * -1 + -4y * -1) = 0 2 + 5x + -7y + (-4 + 3x + 4y) = 0 Reorder the terms: 2 + -4 + 5x + 3x + -7y + 4y = 0 Combine like terms: 2 + -4 = -2 -2 + 5x + 3x + -7y + 4y = 0 Combine like terms: 5x + 3x = 8x -2 + 8x + -7y + 4y = 0 Combine like terms: -7y + 4y = -3y -2 + 8x + -3y = 0 Solving -2 + 8x + -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 + 8x + 2 + -3y = 0 + 2 Reorder the terms: -2 + 2 + 8x + -3y = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 8x + -3y = 0 + 2 8x + -3y = 0 + 2 Combine like terms: 0 + 2 = 2 8x + -3y = 2 Add '3y' to each side of the equation. 8x + -3y + 3y = 2 + 3y Combine like terms: -3y + 3y = 0 8x + 0 = 2 + 3y 8x = 2 + 3y Divide each side by '8'. x = 0.25 + 0.375y Simplifying x = 0.25 + 0.375y
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