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Simplifying -4x + -46 = -7x + 38 Reorder the terms: -46 + -4x = -7x + 38 Reorder the terms: -46 + -4x = 38 + -7x Solving -46 + -4x = 38 + -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 + -4x + 7x = 38 + -7x + 7x Combine like terms: -4x + 7x = 3x -46 + 3x = 38 + -7x + 7x Combine like terms: -7x + 7x = 0 -46 + 3x = 38 + 0 -46 + 3x = 38 Add '46' to each side of the equation. -46 + 46 + 3x = 38 + 46 Combine like terms: -46 + 46 = 0 0 + 3x = 38 + 46 3x = 38 + 46 Combine like terms: 38 + 46 = 84 3x = 84 Divide each side by '3'. x = 28 Simplifying x = 28
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