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Simplifying 2(3 + 4y + x) = 12y + -16 Reorder the terms: 2(3 + x + 4y) = 12y + -16 (3 * 2 + x * 2 + 4y * 2) = 12y + -16 (6 + 2x + 8y) = 12y + -16 Reorder the terms: 6 + 2x + 8y = -16 + 12y Solving 6 + 2x + 8y = -16 + 12y 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 + 2x + -6 + 8y = -16 + -6 + 12y Reorder the terms: 6 + -6 + 2x + 8y = -16 + -6 + 12y Combine like terms: 6 + -6 = 0 0 + 2x + 8y = -16 + -6 + 12y 2x + 8y = -16 + -6 + 12y Combine like terms: -16 + -6 = -22 2x + 8y = -22 + 12y Add '-8y' to each side of the equation. 2x + 8y + -8y = -22 + 12y + -8y Combine like terms: 8y + -8y = 0 2x + 0 = -22 + 12y + -8y 2x = -22 + 12y + -8y Combine like terms: 12y + -8y = 4y 2x = -22 + 4y Divide each side by '2'. x = -11 + 2y Simplifying x = -11 + 2y
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