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Simplifying (x + 6) * 2 = 7(4y + -3) Reorder the terms: (6 + x) * 2 = 7(4y + -3) Reorder the terms for easier multiplication: 2(6 + x) = 7(4y + -3) (6 * 2 + x * 2) = 7(4y + -3) (12 + 2x) = 7(4y + -3) Reorder the terms: 12 + 2x = 7(-3 + 4y) 12 + 2x = (-3 * 7 + 4y * 7) 12 + 2x = (-21 + 28y) Solving 12 + 2x = -21 + 28y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 2x = -21 + -12 + 28y Combine like terms: 12 + -12 = 0 0 + 2x = -21 + -12 + 28y 2x = -21 + -12 + 28y Combine like terms: -21 + -12 = -33 2x = -33 + 28y Divide each side by '2'. x = -16.5 + 14y Simplifying x = -16.5 + 14y
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