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Simplifying 46 = 2(x + 8) Reorder the terms: 46 = 2(8 + x) 46 = (8 * 2 + x * 2) 46 = (16 + 2x) Solving 46 = 16 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 46 + -2x = 16 + 2x + -2x Combine like terms: 2x + -2x = 0 46 + -2x = 16 + 0 46 + -2x = 16 Add '-46' to each side of the equation. 46 + -46 + -2x = 16 + -46 Combine like terms: 46 + -46 = 0 0 + -2x = 16 + -46 -2x = 16 + -46 Combine like terms: 16 + -46 = -30 -2x = -30 Divide each side by '-2'. x = 15 Simplifying x = 15
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