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Simplifying 46 = 6x + 24 + 4x + -30 Reorder the terms: 46 = 24 + -30 + 6x + 4x Combine like terms: 24 + -30 = -6 46 = -6 + 6x + 4x Combine like terms: 6x + 4x = 10x 46 = -6 + 10x Solving 46 = -6 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 46 + -10x = -6 + 10x + -10x Combine like terms: 10x + -10x = 0 46 + -10x = -6 + 0 46 + -10x = -6 Add '-46' to each side of the equation. 46 + -46 + -10x = -6 + -46 Combine like terms: 46 + -46 = 0 0 + -10x = -6 + -46 -10x = -6 + -46 Combine like terms: -6 + -46 = -52 -10x = -52 Divide each side by '-10'. x = 5.2 Simplifying x = 5.2
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