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Simplifying 2(2x + 3) = -3(y + 7) Reorder the terms: 2(3 + 2x) = -3(y + 7) (3 * 2 + 2x * 2) = -3(y + 7) (6 + 4x) = -3(y + 7) Reorder the terms: 6 + 4x = -3(7 + y) 6 + 4x = (7 * -3 + y * -3) 6 + 4x = (-21 + -3y) Solving 6 + 4x = -21 + -3y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 4x = -21 + -6 + -3y Combine like terms: 6 + -6 = 0 0 + 4x = -21 + -6 + -3y 4x = -21 + -6 + -3y Combine like terms: -21 + -6 = -27 4x = -27 + -3y Divide each side by '4'. x = -6.75 + -0.75y Simplifying x = -6.75 + -0.75y
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