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Simplifying 2(x + 9) + 2(2x + -7) = 46 Reorder the terms: 2(9 + x) + 2(2x + -7) = 46 (9 * 2 + x * 2) + 2(2x + -7) = 46 (18 + 2x) + 2(2x + -7) = 46 Reorder the terms: 18 + 2x + 2(-7 + 2x) = 46 18 + 2x + (-7 * 2 + 2x * 2) = 46 18 + 2x + (-14 + 4x) = 46 Reorder the terms: 18 + -14 + 2x + 4x = 46 Combine like terms: 18 + -14 = 4 4 + 2x + 4x = 46 Combine like terms: 2x + 4x = 6x 4 + 6x = 46 Solving 4 + 6x = 46 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 6x = 46 + -4 Combine like terms: 4 + -4 = 0 0 + 6x = 46 + -4 6x = 46 + -4 Combine like terms: 46 + -4 = 42 6x = 42 Divide each side by '6'. x = 7 Simplifying x = 7
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