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Simplifying 46 = 2(2x + 5) + 2x Reorder the terms: 46 = 2(5 + 2x) + 2x 46 = (5 * 2 + 2x * 2) + 2x 46 = (10 + 4x) + 2x Combine like terms: 4x + 2x = 6x 46 = 10 + 6x Solving 46 = 10 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 46 + -6x = 10 + 6x + -6x Combine like terms: 6x + -6x = 0 46 + -6x = 10 + 0 46 + -6x = 10 Add '-46' to each side of the equation. 46 + -46 + -6x = 10 + -46 Combine like terms: 46 + -46 = 0 0 + -6x = 10 + -46 -6x = 10 + -46 Combine like terms: 10 + -46 = -36 -6x = -36 Divide each side by '-6'. x = 6 Simplifying x = 6
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