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Simplifying -46 + -7x = -11x + 62 Reorder the terms: -46 + -7x = 62 + -11x Solving -46 + -7x = 62 + -11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '11x' to each side of the equation. -46 + -7x + 11x = 62 + -11x + 11x Combine like terms: -7x + 11x = 4x -46 + 4x = 62 + -11x + 11x Combine like terms: -11x + 11x = 0 -46 + 4x = 62 + 0 -46 + 4x = 62 Add '46' to each side of the equation. -46 + 46 + 4x = 62 + 46 Combine like terms: -46 + 46 = 0 0 + 4x = 62 + 46 4x = 62 + 46 Combine like terms: 62 + 46 = 108 4x = 108 Divide each side by '4'. x = 27 Simplifying x = 27
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