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Simplifying 5x + -2y + 4 = 10 + -7x Reorder the terms: 4 + 5x + -2y = 10 + -7x Solving 4 + 5x + -2y = 10 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 4 + 5x + 7x + -2y = 10 + -7x + 7x Combine like terms: 5x + 7x = 12x 4 + 12x + -2y = 10 + -7x + 7x Combine like terms: -7x + 7x = 0 4 + 12x + -2y = 10 + 0 4 + 12x + -2y = 10 Add '-4' to each side of the equation. 4 + 12x + -4 + -2y = 10 + -4 Reorder the terms: 4 + -4 + 12x + -2y = 10 + -4 Combine like terms: 4 + -4 = 0 0 + 12x + -2y = 10 + -4 12x + -2y = 10 + -4 Combine like terms: 10 + -4 = 6 12x + -2y = 6 Add '2y' to each side of the equation. 12x + -2y + 2y = 6 + 2y Combine like terms: -2y + 2y = 0 12x + 0 = 6 + 2y 12x = 6 + 2y Divide each side by '12'. x = 0.5 + 0.1666666667y Simplifying x = 0.5 + 0.1666666667y
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