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Simplifying 5x + 7x + -7 = 7 + -2x Reorder the terms: -7 + 5x + 7x = 7 + -2x Combine like terms: 5x + 7x = 12x -7 + 12x = 7 + -2x Solving -7 + 12x = 7 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -7 + 12x + 2x = 7 + -2x + 2x Combine like terms: 12x + 2x = 14x -7 + 14x = 7 + -2x + 2x Combine like terms: -2x + 2x = 0 -7 + 14x = 7 + 0 -7 + 14x = 7 Add '7' to each side of the equation. -7 + 7 + 14x = 7 + 7 Combine like terms: -7 + 7 = 0 0 + 14x = 7 + 7 14x = 7 + 7 Combine like terms: 7 + 7 = 14 14x = 14 Divide each side by '14'. x = 1 Simplifying x = 1
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