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Simplifying 46 = 3(2x + 4) + 10 Reorder the terms: 46 = 3(4 + 2x) + 10 46 = (4 * 3 + 2x * 3) + 10 46 = (12 + 6x) + 10 Reorder the terms: 46 = 12 + 10 + 6x Combine like terms: 12 + 10 = 22 46 = 22 + 6x Solving 46 = 22 + 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 = 22 + 6x + -6x Combine like terms: 6x + -6x = 0 46 + -6x = 22 + 0 46 + -6x = 22 Add '-46' to each side of the equation. 46 + -46 + -6x = 22 + -46 Combine like terms: 46 + -46 = 0 0 + -6x = 22 + -46 -6x = 22 + -46 Combine like terms: 22 + -46 = -24 -6x = -24 Divide each side by '-6'. x = 4 Simplifying x = 4
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