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Simplifying 2x + 5 + 7x = 2x + -2 Reorder the terms: 5 + 2x + 7x = 2x + -2 Combine like terms: 2x + 7x = 9x 5 + 9x = 2x + -2 Reorder the terms: 5 + 9x = -2 + 2x Solving 5 + 9x = -2 + 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. 5 + 9x + -2x = -2 + 2x + -2x Combine like terms: 9x + -2x = 7x 5 + 7x = -2 + 2x + -2x Combine like terms: 2x + -2x = 0 5 + 7x = -2 + 0 5 + 7x = -2 Add '-5' to each side of the equation. 5 + -5 + 7x = -2 + -5 Combine like terms: 5 + -5 = 0 0 + 7x = -2 + -5 7x = -2 + -5 Combine like terms: -2 + -5 = -7 7x = -7 Divide each side by '7'. x = -1 Simplifying x = -1
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