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Simplifying y + 2x + 6 + -9 = 6x + -8 + -1y + 3x + -10 + -2y Reorder the terms: 6 + -9 + 2x + y = 6x + -8 + -1y + 3x + -10 + -2y Combine like terms: 6 + -9 = -3 -3 + 2x + y = 6x + -8 + -1y + 3x + -10 + -2y Reorder the terms: -3 + 2x + y = -8 + -10 + 6x + 3x + -1y + -2y Combine like terms: -8 + -10 = -18 -3 + 2x + y = -18 + 6x + 3x + -1y + -2y Combine like terms: 6x + 3x = 9x -3 + 2x + y = -18 + 9x + -1y + -2y Combine like terms: -1y + -2y = -3y -3 + 2x + y = -18 + 9x + -3y Solving -3 + 2x + y = -18 + 9x + -3y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -3 + 2x + -9x + y = -18 + 9x + -9x + -3y Combine like terms: 2x + -9x = -7x -3 + -7x + y = -18 + 9x + -9x + -3y Combine like terms: 9x + -9x = 0 -3 + -7x + y = -18 + 0 + -3y -3 + -7x + y = -18 + -3y Add '3' to each side of the equation. -3 + -7x + 3 + y = -18 + 3 + -3y Reorder the terms: -3 + 3 + -7x + y = -18 + 3 + -3y Combine like terms: -3 + 3 = 0 0 + -7x + y = -18 + 3 + -3y -7x + y = -18 + 3 + -3y Combine like terms: -18 + 3 = -15 -7x + y = -15 + -3y Add '-1y' to each side of the equation. -7x + y + -1y = -15 + -3y + -1y Combine like terms: y + -1y = 0 -7x + 0 = -15 + -3y + -1y -7x = -15 + -3y + -1y Combine like terms: -3y + -1y = -4y -7x = -15 + -4y Divide each side by '-7'. x = 2.142857143 + 0.5714285714y Simplifying x = 2.142857143 + 0.5714285714y
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