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Simplifying 2y + -5x + -1 = 7x + 5 Reorder the terms: -1 + -5x + 2y = 7x + 5 Reorder the terms: -1 + -5x + 2y = 5 + 7x Solving -1 + -5x + 2y = 5 + 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. -1 + -5x + -7x + 2y = 5 + 7x + -7x Combine like terms: -5x + -7x = -12x -1 + -12x + 2y = 5 + 7x + -7x Combine like terms: 7x + -7x = 0 -1 + -12x + 2y = 5 + 0 -1 + -12x + 2y = 5 Add '1' to each side of the equation. -1 + -12x + 1 + 2y = 5 + 1 Reorder the terms: -1 + 1 + -12x + 2y = 5 + 1 Combine like terms: -1 + 1 = 0 0 + -12x + 2y = 5 + 1 -12x + 2y = 5 + 1 Combine like terms: 5 + 1 = 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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