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Simplifying 46 + -7x = 12 + 10x Solving 46 + -7x = 12 + 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 + -7x + -10x = 12 + 10x + -10x Combine like terms: -7x + -10x = -17x 46 + -17x = 12 + 10x + -10x Combine like terms: 10x + -10x = 0 46 + -17x = 12 + 0 46 + -17x = 12 Add '-46' to each side of the equation. 46 + -46 + -17x = 12 + -46 Combine like terms: 46 + -46 = 0 0 + -17x = 12 + -46 -17x = 12 + -46 Combine like terms: 12 + -46 = -34 -17x = -34 Divide each side by '-17'. x = 2 Simplifying x = 2
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