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Simplifying 46 + -3x = 10 + -7x Solving 46 + -3x = 10 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 46 + -3x + 7x = 10 + -7x + 7x Combine like terms: -3x + 7x = 4x 46 + 4x = 10 + -7x + 7x Combine like terms: -7x + 7x = 0 46 + 4x = 10 + 0 46 + 4x = 10 Add '-46' to each side of the equation. 46 + -46 + 4x = 10 + -46 Combine like terms: 46 + -46 = 0 0 + 4x = 10 + -46 4x = 10 + -46 Combine like terms: 10 + -46 = -36 4x = -36 Divide each side by '4'. x = -9 Simplifying x = -9
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