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Simplifying 6x + 46 = 10x + 14 Reorder the terms: 46 + 6x = 10x + 14 Reorder the terms: 46 + 6x = 14 + 10x Solving 46 + 6x = 14 + 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 + 6x + -10x = 14 + 10x + -10x Combine like terms: 6x + -10x = -4x 46 + -4x = 14 + 10x + -10x Combine like terms: 10x + -10x = 0 46 + -4x = 14 + 0 46 + -4x = 14 Add '-46' to each side of the equation. 46 + -46 + -4x = 14 + -46 Combine like terms: 46 + -46 = 0 0 + -4x = 14 + -46 -4x = 14 + -46 Combine like terms: 14 + -46 = -32 -4x = -32 Divide each side by '-4'. x = 8 Simplifying x = 8
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