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Simplifying x + -46 = -6x + 66 Reorder the terms: -46 + x = -6x + 66 Reorder the terms: -46 + x = 66 + -6x Solving -46 + x = 66 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -46 + x + 6x = 66 + -6x + 6x Combine like terms: x + 6x = 7x -46 + 7x = 66 + -6x + 6x Combine like terms: -6x + 6x = 0 -46 + 7x = 66 + 0 -46 + 7x = 66 Add '46' to each side of the equation. -46 + 46 + 7x = 66 + 46 Combine like terms: -46 + 46 = 0 0 + 7x = 66 + 46 7x = 66 + 46 Combine like terms: 66 + 46 = 112 7x = 112 Divide each side by '7'. x = 16 Simplifying x = 16
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