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Simplifying -7x + -2y = 18 + 2(3y + -1x) Reorder the terms: -7x + -2y = 18 + 2(-1x + 3y) -7x + -2y = 18 + (-1x * 2 + 3y * 2) -7x + -2y = 18 + (-2x + 6y) Solving -7x + -2y = 18 + -2x + 6y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -7x + 2x + -2y = 18 + -2x + 2x + 6y Combine like terms: -7x + 2x = -5x -5x + -2y = 18 + -2x + 2x + 6y Combine like terms: -2x + 2x = 0 -5x + -2y = 18 + 0 + 6y -5x + -2y = 18 + 6y Add '2y' to each side of the equation. -5x + -2y + 2y = 18 + 6y + 2y Combine like terms: -2y + 2y = 0 -5x + 0 = 18 + 6y + 2y -5x = 18 + 6y + 2y Combine like terms: 6y + 2y = 8y -5x = 18 + 8y Divide each side by '-5'. x = -3.6 + -1.6y Simplifying x = -3.6 + -1.6y
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