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Simplifying 7(x + -1) + -6y = 5(x + -1y) Reorder the terms: 7(-1 + x) + -6y = 5(x + -1y) (-1 * 7 + x * 7) + -6y = 5(x + -1y) (-7 + 7x) + -6y = 5(x + -1y) -7 + 7x + -6y = (x * 5 + -1y * 5) -7 + 7x + -6y = (5x + -5y) Solving -7 + 7x + -6y = 5x + -5y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -7 + 7x + -5x + -6y = 5x + -5x + -5y Combine like terms: 7x + -5x = 2x -7 + 2x + -6y = 5x + -5x + -5y Combine like terms: 5x + -5x = 0 -7 + 2x + -6y = 0 + -5y -7 + 2x + -6y = -5y Add '7' to each side of the equation. -7 + 2x + 7 + -6y = 7 + -5y Reorder the terms: -7 + 7 + 2x + -6y = 7 + -5y Combine like terms: -7 + 7 = 0 0 + 2x + -6y = 7 + -5y 2x + -6y = 7 + -5y Add '6y' to each side of the equation. 2x + -6y + 6y = 7 + -5y + 6y Combine like terms: -6y + 6y = 0 2x + 0 = 7 + -5y + 6y 2x = 7 + -5y + 6y Combine like terms: -5y + 6y = 1y 2x = 7 + 1y Divide each side by '2'. x = 3.5 + 0.5y Simplifying x = 3.5 + 0.5y
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