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Simplifying 3x + 5y + -8x + 13 = 2x + -3y + 14 Reorder the terms: 13 + 3x + -8x + 5y = 2x + -3y + 14 Combine like terms: 3x + -8x = -5x 13 + -5x + 5y = 2x + -3y + 14 Reorder the terms: 13 + -5x + 5y = 14 + 2x + -3y Solving 13 + -5x + 5y = 14 + 2x + -3y 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. 13 + -5x + -2x + 5y = 14 + 2x + -2x + -3y Combine like terms: -5x + -2x = -7x 13 + -7x + 5y = 14 + 2x + -2x + -3y Combine like terms: 2x + -2x = 0 13 + -7x + 5y = 14 + 0 + -3y 13 + -7x + 5y = 14 + -3y Add '-13' to each side of the equation. 13 + -7x + -13 + 5y = 14 + -13 + -3y Reorder the terms: 13 + -13 + -7x + 5y = 14 + -13 + -3y Combine like terms: 13 + -13 = 0 0 + -7x + 5y = 14 + -13 + -3y -7x + 5y = 14 + -13 + -3y Combine like terms: 14 + -13 = 1 -7x + 5y = 1 + -3y Add '-5y' to each side of the equation. -7x + 5y + -5y = 1 + -3y + -5y Combine like terms: 5y + -5y = 0 -7x + 0 = 1 + -3y + -5y -7x = 1 + -3y + -5y Combine like terms: -3y + -5y = -8y -7x = 1 + -8y Divide each side by '-7'. x = -0.1428571429 + 1.142857143y Simplifying x = -0.1428571429 + 1.142857143y
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