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Simplifying (6x + -1y + 3) + -1(2x + 7y + -9) = 0 Reorder the terms: (3 + 6x + -1y) + -1(2x + 7y + -9) = 0 Remove parenthesis around (3 + 6x + -1y) 3 + 6x + -1y + -1(2x + 7y + -9) = 0 Reorder the terms: 3 + 6x + -1y + -1(-9 + 2x + 7y) = 0 3 + 6x + -1y + (-9 * -1 + 2x * -1 + 7y * -1) = 0 3 + 6x + -1y + (9 + -2x + -7y) = 0 Reorder the terms: 3 + 9 + 6x + -2x + -1y + -7y = 0 Combine like terms: 3 + 9 = 12 12 + 6x + -2x + -1y + -7y = 0 Combine like terms: 6x + -2x = 4x 12 + 4x + -1y + -7y = 0 Combine like terms: -1y + -7y = -8y 12 + 4x + -8y = 0 Solving 12 + 4x + -8y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + 4x + -12 + -8y = 0 + -12 Reorder the terms: 12 + -12 + 4x + -8y = 0 + -12 Combine like terms: 12 + -12 = 0 0 + 4x + -8y = 0 + -12 4x + -8y = 0 + -12 Combine like terms: 0 + -12 = -12 4x + -8y = -12 Add '8y' to each side of the equation. 4x + -8y + 8y = -12 + 8y Combine like terms: -8y + 8y = 0 4x + 0 = -12 + 8y 4x = -12 + 8y Divide each side by '4'. x = -3 + 2y Simplifying x = -3 + 2y
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