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Simplifying 46 = 4x + -4 + 6x Reorder the terms: 46 = -4 + 4x + 6x Combine like terms: 4x + 6x = 10x 46 = -4 + 10x Solving 46 = -4 + 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 = -4 + 10x + -10x Combine like terms: 10x + -10x = 0 46 + -10x = -4 + 0 46 + -10x = -4 Add '-46' to each side of the equation. 46 + -46 + -10x = -4 + -46 Combine like terms: 46 + -46 = 0 0 + -10x = -4 + -46 -10x = -4 + -46 Combine like terms: -4 + -46 = -50 -10x = -50 Divide each side by '-10'. x = 5 Simplifying x = 5
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