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Simplifying 2x + 4y + 7 = 5x + 9y + -3 Reorder the terms: 7 + 2x + 4y = 5x + 9y + -3 Reorder the terms: 7 + 2x + 4y = -3 + 5x + 9y Solving 7 + 2x + 4y = -3 + 5x + 9y 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. 7 + 2x + -5x + 4y = -3 + 5x + -5x + 9y Combine like terms: 2x + -5x = -3x 7 + -3x + 4y = -3 + 5x + -5x + 9y Combine like terms: 5x + -5x = 0 7 + -3x + 4y = -3 + 0 + 9y 7 + -3x + 4y = -3 + 9y Add '-7' to each side of the equation. 7 + -3x + -7 + 4y = -3 + -7 + 9y Reorder the terms: 7 + -7 + -3x + 4y = -3 + -7 + 9y Combine like terms: 7 + -7 = 0 0 + -3x + 4y = -3 + -7 + 9y -3x + 4y = -3 + -7 + 9y Combine like terms: -3 + -7 = -10 -3x + 4y = -10 + 9y Add '-4y' to each side of the equation. -3x + 4y + -4y = -10 + 9y + -4y Combine like terms: 4y + -4y = 0 -3x + 0 = -10 + 9y + -4y -3x = -10 + 9y + -4y Combine like terms: 9y + -4y = 5y -3x = -10 + 5y Divide each side by '-3'. x = 3.333333333 + -1.666666667y Simplifying x = 3.333333333 + -1.666666667y
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