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Simplifying 2x + 3y + -18 = x + -1y + -5 Reorder the terms: -18 + 2x + 3y = x + -1y + -5 Reorder the terms: -18 + 2x + 3y = -5 + x + -1y Solving -18 + 2x + 3y = -5 + x + -1y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -18 + 2x + -1x + 3y = -5 + x + -1x + -1y Combine like terms: 2x + -1x = 1x -18 + 1x + 3y = -5 + x + -1x + -1y Combine like terms: x + -1x = 0 -18 + 1x + 3y = -5 + 0 + -1y -18 + 1x + 3y = -5 + -1y Add '18' to each side of the equation. -18 + 1x + 18 + 3y = -5 + 18 + -1y Reorder the terms: -18 + 18 + 1x + 3y = -5 + 18 + -1y Combine like terms: -18 + 18 = 0 0 + 1x + 3y = -5 + 18 + -1y 1x + 3y = -5 + 18 + -1y Combine like terms: -5 + 18 = 13 1x + 3y = 13 + -1y Add '-3y' to each side of the equation. 1x + 3y + -3y = 13 + -1y + -3y Combine like terms: 3y + -3y = 0 1x + 0 = 13 + -1y + -3y 1x = 13 + -1y + -3y Combine like terms: -1y + -3y = -4y 1x = 13 + -4y Divide each side by '1'. x = 13 + -4y Simplifying x = 13 + -4y
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