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Simplifying 9x + -2y + -7 = -9x + 10y + 23 Reorder the terms: -7 + 9x + -2y = -9x + 10y + 23 Reorder the terms: -7 + 9x + -2y = 23 + -9x + 10y Solving -7 + 9x + -2y = 23 + -9x + 10y 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. -7 + 9x + 9x + -2y = 23 + -9x + 9x + 10y Combine like terms: 9x + 9x = 18x -7 + 18x + -2y = 23 + -9x + 9x + 10y Combine like terms: -9x + 9x = 0 -7 + 18x + -2y = 23 + 0 + 10y -7 + 18x + -2y = 23 + 10y Add '7' to each side of the equation. -7 + 18x + 7 + -2y = 23 + 7 + 10y Reorder the terms: -7 + 7 + 18x + -2y = 23 + 7 + 10y Combine like terms: -7 + 7 = 0 0 + 18x + -2y = 23 + 7 + 10y 18x + -2y = 23 + 7 + 10y Combine like terms: 23 + 7 = 30 18x + -2y = 30 + 10y Add '2y' to each side of the equation. 18x + -2y + 2y = 30 + 10y + 2y Combine like terms: -2y + 2y = 0 18x + 0 = 30 + 10y + 2y 18x = 30 + 10y + 2y Combine like terms: 10y + 2y = 12y 18x = 30 + 12y Divide each side by '18'. x = 1.666666667 + 0.6666666667y Simplifying x = 1.666666667 + 0.6666666667y
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