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Simplifying 2x + 3x + -5 = 7 + (-1x) Reorder the terms: -5 + 2x + 3x = 7 + (-1x) Combine like terms: 2x + 3x = 5x -5 + 5x = 7 + (-1x) Solving -5 + 5x = 7 + (-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. -5 + 5x + (x) = 7 + (-1x) + (x) -5 + 5x + x = 7 + (-1x) + (x) Combine like terms: 5x + x = 6x -5 + 6x = 7 + (-1x) + (x) -5 + 6x = 7 + (-1x) + x Combine like terms: (-1x) + x = 0 -5 + 6x = 7 + 0 -5 + 6x = 7 Add '5' to each side of the equation. -5 + 5 + 6x = 7 + 5 Combine like terms: -5 + 5 = 0 0 + 6x = 7 + 5 6x = 7 + 5 Combine like terms: 7 + 5 = 12 6x = 12 Divide each side by '6'. x = 2 Simplifying x = 2
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