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Simplifying 2(2y + -3x) + 6 + -7 = 0 Reorder the terms: 2(-3x + 2y) + 6 + -7 = 0 (-3x * 2 + 2y * 2) + 6 + -7 = 0 (-6x + 4y) + 6 + -7 = 0 Reorder the terms: 6 + -7 + -6x + 4y = 0 Combine like terms: 6 + -7 = -1 -1 + -6x + 4y = 0 Solving -1 + -6x + 4y = 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 + -6x + 1 + 4y = 0 + 1 Reorder the terms: -1 + 1 + -6x + 4y = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -6x + 4y = 0 + 1 -6x + 4y = 0 + 1 Combine like terms: 0 + 1 = 1 -6x + 4y = 1 Add '-4y' to each side of the equation. -6x + 4y + -4y = 1 + -4y Combine like terms: 4y + -4y = 0 -6x + 0 = 1 + -4y -6x = 1 + -4y Divide each side by '-6'. x = -0.1666666667 + 0.6666666667y Simplifying x = -0.1666666667 + 0.6666666667y
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