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Simplifying 5x + -2 = -1x + 46 Reorder the terms: -2 + 5x = -1x + 46 Reorder the terms: -2 + 5x = 46 + -1x Solving -2 + 5x = 46 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -2 + 5x + x = 46 + -1x + x Combine like terms: 5x + x = 6x -2 + 6x = 46 + -1x + x Combine like terms: -1x + x = 0 -2 + 6x = 46 + 0 -2 + 6x = 46 Add '2' to each side of the equation. -2 + 2 + 6x = 46 + 2 Combine like terms: -2 + 2 = 0 0 + 6x = 46 + 2 6x = 46 + 2 Combine like terms: 46 + 2 = 48 6x = 48 Divide each side by '6'. x = 8 Simplifying x = 8
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