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Simplifying x * 6 + 46 = x * 10 + -14 Reorder the terms for easier multiplication: 6x + 46 = x * 10 + -14 Reorder the terms: 46 + 6x = x * 10 + -14 Reorder the terms for easier multiplication: 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 = -60 -4x = -60 Divide each side by '-4'. x = 15 Simplifying x = 15
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