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Simplifying 3(2x + 6) + 2(7x + -2) = 94 Reorder the terms: 3(6 + 2x) + 2(7x + -2) = 94 (6 * 3 + 2x * 3) + 2(7x + -2) = 94 (18 + 6x) + 2(7x + -2) = 94 Reorder the terms: 18 + 6x + 2(-2 + 7x) = 94 18 + 6x + (-2 * 2 + 7x * 2) = 94 18 + 6x + (-4 + 14x) = 94 Reorder the terms: 18 + -4 + 6x + 14x = 94 Combine like terms: 18 + -4 = 14 14 + 6x + 14x = 94 Combine like terms: 6x + 14x = 20x 14 + 20x = 94 Solving 14 + 20x = 94 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 + 20x = 94 + -14 Combine like terms: 14 + -14 = 0 0 + 20x = 94 + -14 20x = 94 + -14 Combine like terms: 94 + -14 = 80 20x = 80 Divide each side by '20'. x = 4 Simplifying x = 4
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