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Simplifying 46 = 8(x + 2) + -2 Reorder the terms: 46 = 8(2 + x) + -2 46 = (2 * 8 + x * 8) + -2 46 = (16 + 8x) + -2 Reorder the terms: 46 = 16 + -2 + 8x Combine like terms: 16 + -2 = 14 46 = 14 + 8x Solving 46 = 14 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 46 + -8x = 14 + 8x + -8x Combine like terms: 8x + -8x = 0 46 + -8x = 14 + 0 46 + -8x = 14 Add '-46' to each side of the equation. 46 + -46 + -8x = 14 + -46 Combine like terms: 46 + -46 = 0 0 + -8x = 14 + -46 -8x = 14 + -46 Combine like terms: 14 + -46 = -32 -8x = -32 Divide each side by '-8'. x = 4 Simplifying x = 4
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