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Simplifying (-6x + 2y + -3) + -1(2x + -4y + -7) = 0 Reorder the terms: (-3 + -6x + 2y) + -1(2x + -4y + -7) = 0 Remove parenthesis around (-3 + -6x + 2y) -3 + -6x + 2y + -1(2x + -4y + -7) = 0 Reorder the terms: -3 + -6x + 2y + -1(-7 + 2x + -4y) = 0 -3 + -6x + 2y + (-7 * -1 + 2x * -1 + -4y * -1) = 0 -3 + -6x + 2y + (7 + -2x + 4y) = 0 Reorder the terms: -3 + 7 + -6x + -2x + 2y + 4y = 0 Combine like terms: -3 + 7 = 4 4 + -6x + -2x + 2y + 4y = 0 Combine like terms: -6x + -2x = -8x 4 + -8x + 2y + 4y = 0 Combine like terms: 2y + 4y = 6y 4 + -8x + 6y = 0 Solving 4 + -8x + 6y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -8x + -4 + 6y = 0 + -4 Reorder the terms: 4 + -4 + -8x + 6y = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -8x + 6y = 0 + -4 -8x + 6y = 0 + -4 Combine like terms: 0 + -4 = -4 -8x + 6y = -4 Add '-6y' to each side of the equation. -8x + 6y + -6y = -4 + -6y Combine like terms: 6y + -6y = 0 -8x + 0 = -4 + -6y -8x = -4 + -6y Divide each side by '-8'. x = 0.5 + 0.75y Simplifying x = 0.5 + 0.75y
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