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Simplifying 3(2x + 6) + 2(5x + -2) = 46 Reorder the terms: 3(6 + 2x) + 2(5x + -2) = 46 (6 * 3 + 2x * 3) + 2(5x + -2) = 46 (18 + 6x) + 2(5x + -2) = 46 Reorder the terms: 18 + 6x + 2(-2 + 5x) = 46 18 + 6x + (-2 * 2 + 5x * 2) = 46 18 + 6x + (-4 + 10x) = 46 Reorder the terms: 18 + -4 + 6x + 10x = 46 Combine like terms: 18 + -4 = 14 14 + 6x + 10x = 46 Combine like terms: 6x + 10x = 16x 14 + 16x = 46 Solving 14 + 16x = 46 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 + 16x = 46 + -14 Combine like terms: 14 + -14 = 0 0 + 16x = 46 + -14 16x = 46 + -14 Combine like terms: 46 + -14 = 32 16x = 32 Divide each side by '16'. x = 2 Simplifying x = 2
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