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Simplifying 46 = -7x + 4x + 10 Reorder the terms: 46 = 10 + -7x + 4x Combine like terms: -7x + 4x = -3x 46 = 10 + -3x Solving 46 = 10 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 46 + 3x = 10 + -3x + 3x Combine like terms: -3x + 3x = 0 46 + 3x = 10 + 0 46 + 3x = 10 Add '-46' to each side of the equation. 46 + -46 + 3x = 10 + -46 Combine like terms: 46 + -46 = 0 0 + 3x = 10 + -46 3x = 10 + -46 Combine like terms: 10 + -46 = -36 3x = -36 Divide each side by '3'. x = -12 Simplifying x = -12
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