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