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Simplifying -2x + 3y + -2(-2x + -2y + 6) = 1 Reorder the terms: -2x + 3y + -2(6 + -2x + -2y) = 1 -2x + 3y + (6 * -2 + -2x * -2 + -2y * -2) = 1 -2x + 3y + (-12 + 4x + 4y) = 1 Reorder the terms: -12 + -2x + 4x + 3y + 4y = 1 Combine like terms: -2x + 4x = 2x -12 + 2x + 3y + 4y = 1 Combine like terms: 3y + 4y = 7y -12 + 2x + 7y = 1 Solving -12 + 2x + 7y = 1 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 + 2x + 12 + 7y = 1 + 12 Reorder the terms: -12 + 12 + 2x + 7y = 1 + 12 Combine like terms: -12 + 12 = 0 0 + 2x + 7y = 1 + 12 2x + 7y = 1 + 12 Combine like terms: 1 + 12 = 13 2x + 7y = 13 Add '-7y' to each side of the equation. 2x + 7y + -7y = 13 + -7y Combine like terms: 7y + -7y = 0 2x + 0 = 13 + -7y 2x = 13 + -7y Divide each side by '2'. x = 6.5 + -3.5y Simplifying x = 6.5 + -3.5y
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