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Simplifying 4x + 6y + -5 + 9 = 2y + -1x + 2 + -9 Reorder the terms: -5 + 9 + 4x + 6y = 2y + -1x + 2 + -9 Combine like terms: -5 + 9 = 4 4 + 4x + 6y = 2y + -1x + 2 + -9 Reorder the terms: 4 + 4x + 6y = 2 + -9 + -1x + 2y Combine like terms: 2 + -9 = -7 4 + 4x + 6y = -7 + -1x + 2y Solving 4 + 4x + 6y = -7 + -1x + 2y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 4 + 4x + x + 6y = -7 + -1x + x + 2y Combine like terms: 4x + x = 5x 4 + 5x + 6y = -7 + -1x + x + 2y Combine like terms: -1x + x = 0 4 + 5x + 6y = -7 + 0 + 2y 4 + 5x + 6y = -7 + 2y Add '-4' to each side of the equation. 4 + 5x + -4 + 6y = -7 + -4 + 2y Reorder the terms: 4 + -4 + 5x + 6y = -7 + -4 + 2y Combine like terms: 4 + -4 = 0 0 + 5x + 6y = -7 + -4 + 2y 5x + 6y = -7 + -4 + 2y Combine like terms: -7 + -4 = -11 5x + 6y = -11 + 2y Add '-6y' to each side of the equation. 5x + 6y + -6y = -11 + 2y + -6y Combine like terms: 6y + -6y = 0 5x + 0 = -11 + 2y + -6y 5x = -11 + 2y + -6y Combine like terms: 2y + -6y = -4y 5x = -11 + -4y Divide each side by '5'. x = -2.2 + -0.8y Simplifying x = -2.2 + -0.8y
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