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Simplifying 3(4x + -1) + 7(2y + 3) = 16 Reorder the terms: 3(-1 + 4x) + 7(2y + 3) = 16 (-1 * 3 + 4x * 3) + 7(2y + 3) = 16 (-3 + 12x) + 7(2y + 3) = 16 Reorder the terms: -3 + 12x + 7(3 + 2y) = 16 -3 + 12x + (3 * 7 + 2y * 7) = 16 -3 + 12x + (21 + 14y) = 16 Reorder the terms: -3 + 21 + 12x + 14y = 16 Combine like terms: -3 + 21 = 18 18 + 12x + 14y = 16 Solving 18 + 12x + 14y = 16 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + 12x + -18 + 14y = 16 + -18 Reorder the terms: 18 + -18 + 12x + 14y = 16 + -18 Combine like terms: 18 + -18 = 0 0 + 12x + 14y = 16 + -18 12x + 14y = 16 + -18 Combine like terms: 16 + -18 = -2 12x + 14y = -2 Add '-14y' to each side of the equation. 12x + 14y + -14y = -2 + -14y Combine like terms: 14y + -14y = 0 12x + 0 = -2 + -14y 12x = -2 + -14y Divide each side by '12'. x = -0.1666666667 + -1.166666667y Simplifying x = -0.1666666667 + -1.166666667y
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