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Simplifying 7x + -1(2x + 3) = 9(x + -1) + -5y Reorder the terms: 7x + -1(3 + 2x) = 9(x + -1) + -5y 7x + (3 * -1 + 2x * -1) = 9(x + -1) + -5y 7x + (-3 + -2x) = 9(x + -1) + -5y Reorder the terms: -3 + 7x + -2x = 9(x + -1) + -5y Combine like terms: 7x + -2x = 5x -3 + 5x = 9(x + -1) + -5y Reorder the terms: -3 + 5x = 9(-1 + x) + -5y -3 + 5x = (-1 * 9 + x * 9) + -5y -3 + 5x = (-9 + 9x) + -5y Solving -3 + 5x = -9 + 9x + -5y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -3 + 5x + -9x = -9 + 9x + -9x + -5y Combine like terms: 5x + -9x = -4x -3 + -4x = -9 + 9x + -9x + -5y Combine like terms: 9x + -9x = 0 -3 + -4x = -9 + 0 + -5y -3 + -4x = -9 + -5y Add '3' to each side of the equation. -3 + 3 + -4x = -9 + 3 + -5y Combine like terms: -3 + 3 = 0 0 + -4x = -9 + 3 + -5y -4x = -9 + 3 + -5y Combine like terms: -9 + 3 = -6 -4x = -6 + -5y Divide each side by '-4'. x = 1.5 + 1.25y Simplifying x = 1.5 + 1.25y
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