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Simplifying 5x + -6y + -4 = y + x + 19 Reorder the terms: -4 + 5x + -6y = y + x + 19 Reorder the terms: -4 + 5x + -6y = 19 + x + y Solving -4 + 5x + -6y = 19 + 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. -4 + 5x + -1x + -6y = 19 + x + -1x + y Combine like terms: 5x + -1x = 4x -4 + 4x + -6y = 19 + x + -1x + y Combine like terms: x + -1x = 0 -4 + 4x + -6y = 19 + 0 + y -4 + 4x + -6y = 19 + y Add '4' to each side of the equation. -4 + 4x + 4 + -6y = 19 + 4 + y Reorder the terms: -4 + 4 + 4x + -6y = 19 + 4 + y Combine like terms: -4 + 4 = 0 0 + 4x + -6y = 19 + 4 + y 4x + -6y = 19 + 4 + y Combine like terms: 19 + 4 = 23 4x + -6y = 23 + y Add '6y' to each side of the equation. 4x + -6y + 6y = 23 + y + 6y Combine like terms: -6y + 6y = 0 4x + 0 = 23 + y + 6y 4x = 23 + y + 6y Combine like terms: y + 6y = 7y 4x = 23 + 7y Divide each side by '4'. x = 5.75 + 1.75y Simplifying x = 5.75 + 1.75y
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