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Simplifying 2(4y + 3x) = 114 Reorder the terms: 2(3x + 4y) = 114 (3x * 2 + 4y * 2) = 114 (6x + 8y) = 114 Solving 6x + 8y = 114 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8y' to each side of the equation. 6x + 8y + -8y = 114 + -8y Combine like terms: 8y + -8y = 0 6x + 0 = 114 + -8y 6x = 114 + -8y Divide each side by '6'. x = 19 + -1.333333333y Simplifying x = 19 + -1.333333333y
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