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