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Simplifying 5x + 2x + -5 = x + 12 Reorder the terms: -5 + 5x + 2x = x + 12 Combine like terms: 5x + 2x = 7x -5 + 7x = x + 12 Reorder the terms: -5 + 7x = 12 + x Solving -5 + 7x = 12 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -5 + 7x + -1x = 12 + x + -1x Combine like terms: 7x + -1x = 6x -5 + 6x = 12 + x + -1x Combine like terms: x + -1x = 0 -5 + 6x = 12 + 0 -5 + 6x = 12 Add '5' to each side of the equation. -5 + 5 + 6x = 12 + 5 Combine like terms: -5 + 5 = 0 0 + 6x = 12 + 5 6x = 12 + 5 Combine like terms: 12 + 5 = 17 6x = 17 Divide each side by '6'. x = 2.833333333 Simplifying x = 2.833333333
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