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Simplifying 5y + 3x + -12 = 10x + -7y + 4 Reorder the terms: -12 + 3x + 5y = 10x + -7y + 4 Reorder the terms: -12 + 3x + 5y = 4 + 10x + -7y Solving -12 + 3x + 5y = 4 + 10x + -7y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -12 + 3x + -10x + 5y = 4 + 10x + -10x + -7y Combine like terms: 3x + -10x = -7x -12 + -7x + 5y = 4 + 10x + -10x + -7y Combine like terms: 10x + -10x = 0 -12 + -7x + 5y = 4 + 0 + -7y -12 + -7x + 5y = 4 + -7y Add '12' to each side of the equation. -12 + -7x + 12 + 5y = 4 + 12 + -7y Reorder the terms: -12 + 12 + -7x + 5y = 4 + 12 + -7y Combine like terms: -12 + 12 = 0 0 + -7x + 5y = 4 + 12 + -7y -7x + 5y = 4 + 12 + -7y Combine like terms: 4 + 12 = 16 -7x + 5y = 16 + -7y Add '-5y' to each side of the equation. -7x + 5y + -5y = 16 + -7y + -5y Combine like terms: 5y + -5y = 0 -7x + 0 = 16 + -7y + -5y -7x = 16 + -7y + -5y Combine like terms: -7y + -5y = -12y -7x = 16 + -12y Divide each side by '-7'. x = -2.285714286 + 1.714285714y Simplifying x = -2.285714286 + 1.714285714y
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