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Simplifying 5x + -4y + -13 = x + y + 33 Reorder the terms: -13 + 5x + -4y = x + y + 33 Reorder the terms: -13 + 5x + -4y = 33 + x + y Solving -13 + 5x + -4y = 33 + x + y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -13 + 5x + -1x + -4y = 33 + x + -1x + y Combine like terms: 5x + -1x = 4x -13 + 4x + -4y = 33 + x + -1x + y Combine like terms: x + -1x = 0 -13 + 4x + -4y = 33 + 0 + y -13 + 4x + -4y = 33 + y Add '13' to each side of the equation. -13 + 4x + 13 + -4y = 33 + 13 + y Reorder the terms: -13 + 13 + 4x + -4y = 33 + 13 + y Combine like terms: -13 + 13 = 0 0 + 4x + -4y = 33 + 13 + y 4x + -4y = 33 + 13 + y Combine like terms: 33 + 13 = 46 4x + -4y = 46 + y Add '4y' to each side of the equation. 4x + -4y + 4y = 46 + y + 4y Combine like terms: -4y + 4y = 0 4x + 0 = 46 + y + 4y 4x = 46 + y + 4y Combine like terms: y + 4y = 5y 4x = 46 + 5y Divide each side by '4'. x = 11.5 + 1.25y Simplifying x = 11.5 + 1.25y
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