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Simplifying 3x + 4y + -5 = 9x + 10y + -4 Reorder the terms: -5 + 3x + 4y = 9x + 10y + -4 Reorder the terms: -5 + 3x + 4y = -4 + 9x + 10y Solving -5 + 3x + 4y = -4 + 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. -5 + 3x + -9x + 4y = -4 + 9x + -9x + 10y Combine like terms: 3x + -9x = -6x -5 + -6x + 4y = -4 + 9x + -9x + 10y Combine like terms: 9x + -9x = 0 -5 + -6x + 4y = -4 + 0 + 10y -5 + -6x + 4y = -4 + 10y Add '5' to each side of the equation. -5 + -6x + 5 + 4y = -4 + 5 + 10y Reorder the terms: -5 + 5 + -6x + 4y = -4 + 5 + 10y Combine like terms: -5 + 5 = 0 0 + -6x + 4y = -4 + 5 + 10y -6x + 4y = -4 + 5 + 10y Combine like terms: -4 + 5 = 1 -6x + 4y = 1 + 10y Add '-4y' to each side of the equation. -6x + 4y + -4y = 1 + 10y + -4y Combine like terms: 4y + -4y = 0 -6x + 0 = 1 + 10y + -4y -6x = 1 + 10y + -4y Combine like terms: 10y + -4y = 6y -6x = 1 + 6y Divide each side by '-6'. x = -0.1666666667 + -1y Simplifying x = -0.1666666667 + -1y
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