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Simplifying 3y + 4y + -3x = 2x + 5y + -10 Reorder the terms: -3x + 3y + 4y = 2x + 5y + -10 Combine like terms: 3y + 4y = 7y -3x + 7y = 2x + 5y + -10 Reorder the terms: -3x + 7y = -10 + 2x + 5y Solving -3x + 7y = -10 + 2x + 5y 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. -3x + -2x + 7y = -10 + 2x + -2x + 5y Combine like terms: -3x + -2x = -5x -5x + 7y = -10 + 2x + -2x + 5y Combine like terms: 2x + -2x = 0 -5x + 7y = -10 + 0 + 5y -5x + 7y = -10 + 5y Add '-7y' to each side of the equation. -5x + 7y + -7y = -10 + 5y + -7y Combine like terms: 7y + -7y = 0 -5x + 0 = -10 + 5y + -7y -5x = -10 + 5y + -7y Combine like terms: 5y + -7y = -2y -5x = -10 + -2y Divide each side by '-5'. x = 2 + 0.4y Simplifying x = 2 + 0.4y
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