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Simplifying 2x + -1y + 3 = 5x + 7y + -4 Reorder the terms: 3 + 2x + -1y = 5x + 7y + -4 Reorder the terms: 3 + 2x + -1y = -4 + 5x + 7y Solving 3 + 2x + -1y = -4 + 5x + 7y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 3 + 2x + -5x + -1y = -4 + 5x + -5x + 7y Combine like terms: 2x + -5x = -3x 3 + -3x + -1y = -4 + 5x + -5x + 7y Combine like terms: 5x + -5x = 0 3 + -3x + -1y = -4 + 0 + 7y 3 + -3x + -1y = -4 + 7y Add '-3' to each side of the equation. 3 + -3x + -3 + -1y = -4 + -3 + 7y Reorder the terms: 3 + -3 + -3x + -1y = -4 + -3 + 7y Combine like terms: 3 + -3 = 0 0 + -3x + -1y = -4 + -3 + 7y -3x + -1y = -4 + -3 + 7y Combine like terms: -4 + -3 = -7 -3x + -1y = -7 + 7y Add 'y' to each side of the equation. -3x + -1y + y = -7 + 7y + y Combine like terms: -1y + y = 0 -3x + 0 = -7 + 7y + y -3x = -7 + 7y + y Combine like terms: 7y + y = 8y -3x = -7 + 8y Divide each side by '-3'. x = 2.333333333 + -2.666666667y Simplifying x = 2.333333333 + -2.666666667y
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