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Simplifying 3y + 5x + -10 = 2x + 8y + 9 Reorder the terms: -10 + 5x + 3y = 2x + 8y + 9 Reorder the terms: -10 + 5x + 3y = 9 + 2x + 8y Solving -10 + 5x + 3y = 9 + 2x + 8y 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. -10 + 5x + -2x + 3y = 9 + 2x + -2x + 8y Combine like terms: 5x + -2x = 3x -10 + 3x + 3y = 9 + 2x + -2x + 8y Combine like terms: 2x + -2x = 0 -10 + 3x + 3y = 9 + 0 + 8y -10 + 3x + 3y = 9 + 8y Add '10' to each side of the equation. -10 + 3x + 10 + 3y = 9 + 10 + 8y Reorder the terms: -10 + 10 + 3x + 3y = 9 + 10 + 8y Combine like terms: -10 + 10 = 0 0 + 3x + 3y = 9 + 10 + 8y 3x + 3y = 9 + 10 + 8y Combine like terms: 9 + 10 = 19 3x + 3y = 19 + 8y Add '-3y' to each side of the equation. 3x + 3y + -3y = 19 + 8y + -3y Combine like terms: 3y + -3y = 0 3x + 0 = 19 + 8y + -3y 3x = 19 + 8y + -3y Combine like terms: 8y + -3y = 5y 3x = 19 + 5y Divide each side by '3'. x = 6.333333333 + 1.666666667y Simplifying x = 6.333333333 + 1.666666667y
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