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Simplifying 7(-3x + 2) = 8(3y + -2) Reorder the terms: 7(2 + -3x) = 8(3y + -2) (2 * 7 + -3x * 7) = 8(3y + -2) (14 + -21x) = 8(3y + -2) Reorder the terms: 14 + -21x = 8(-2 + 3y) 14 + -21x = (-2 * 8 + 3y * 8) 14 + -21x = (-16 + 24y) Solving 14 + -21x = -16 + 24y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + -21x = -16 + -14 + 24y Combine like terms: 14 + -14 = 0 0 + -21x = -16 + -14 + 24y -21x = -16 + -14 + 24y Combine like terms: -16 + -14 = -30 -21x = -30 + 24y Divide each side by '-21'. x = 1.428571429 + -1.142857143y Simplifying x = 1.428571429 + -1.142857143y
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