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Simplifying (3x + -4y + 2) + -1(-5x + -6y + 3) = 0 Reorder the terms: (2 + 3x + -4y) + -1(-5x + -6y + 3) = 0 Remove parenthesis around (2 + 3x + -4y) 2 + 3x + -4y + -1(-5x + -6y + 3) = 0 Reorder the terms: 2 + 3x + -4y + -1(3 + -5x + -6y) = 0 2 + 3x + -4y + (3 * -1 + -5x * -1 + -6y * -1) = 0 2 + 3x + -4y + (-3 + 5x + 6y) = 0 Reorder the terms: 2 + -3 + 3x + 5x + -4y + 6y = 0 Combine like terms: 2 + -3 = -1 -1 + 3x + 5x + -4y + 6y = 0 Combine like terms: 3x + 5x = 8x -1 + 8x + -4y + 6y = 0 Combine like terms: -4y + 6y = 2y -1 + 8x + 2y = 0 Solving -1 + 8x + 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 + 8x + 1 + 2y = 0 + 1 Reorder the terms: -1 + 1 + 8x + 2y = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 8x + 2y = 0 + 1 8x + 2y = 0 + 1 Combine like terms: 0 + 1 = 1 8x + 2y = 1 Add '-2y' to each side of the equation. 8x + 2y + -2y = 1 + -2y Combine like terms: 2y + -2y = 0 8x + 0 = 1 + -2y 8x = 1 + -2y Divide each side by '8'. x = 0.125 + -0.25y Simplifying x = 0.125 + -0.25y
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