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Simplifying 3x + 4y + -7 = -2x + 2y + -5 Reorder the terms: -7 + 3x + 4y = -2x + 2y + -5 Reorder the terms: -7 + 3x + 4y = -5 + -2x + 2y Solving -7 + 3x + 4y = -5 + -2x + 2y 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. -7 + 3x + 2x + 4y = -5 + -2x + 2x + 2y Combine like terms: 3x + 2x = 5x -7 + 5x + 4y = -5 + -2x + 2x + 2y Combine like terms: -2x + 2x = 0 -7 + 5x + 4y = -5 + 0 + 2y -7 + 5x + 4y = -5 + 2y Add '7' to each side of the equation. -7 + 5x + 7 + 4y = -5 + 7 + 2y Reorder the terms: -7 + 7 + 5x + 4y = -5 + 7 + 2y Combine like terms: -7 + 7 = 0 0 + 5x + 4y = -5 + 7 + 2y 5x + 4y = -5 + 7 + 2y Combine like terms: -5 + 7 = 2 5x + 4y = 2 + 2y Add '-4y' to each side of the equation. 5x + 4y + -4y = 2 + 2y + -4y Combine like terms: 4y + -4y = 0 5x + 0 = 2 + 2y + -4y 5x = 2 + 2y + -4y Combine like terms: 2y + -4y = -2y 5x = 2 + -2y Divide each side by '5'. x = 0.4 + -0.4y Simplifying x = 0.4 + -0.4y
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