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Simplifying -7(x + 1) = 2y + -6 + 3(2y + 3) Reorder the terms: -7(1 + x) = 2y + -6 + 3(2y + 3) (1 * -7 + x * -7) = 2y + -6 + 3(2y + 3) (-7 + -7x) = 2y + -6 + 3(2y + 3) Reorder the terms: -7 + -7x = 2y + -6 + 3(3 + 2y) -7 + -7x = 2y + -6 + (3 * 3 + 2y * 3) -7 + -7x = 2y + -6 + (9 + 6y) Reorder the terms: -7 + -7x = -6 + 9 + 2y + 6y Combine like terms: -6 + 9 = 3 -7 + -7x = 3 + 2y + 6y Combine like terms: 2y + 6y = 8y -7 + -7x = 3 + 8y Solving -7 + -7x = 3 + 8y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -7x = 3 + 7 + 8y Combine like terms: -7 + 7 = 0 0 + -7x = 3 + 7 + 8y -7x = 3 + 7 + 8y Combine like terms: 3 + 7 = 10 -7x = 10 + 8y Divide each side by '-7'. x = -1.428571429 + -1.142857143y Simplifying x = -1.428571429 + -1.142857143y
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