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Simplifying 1 + -7x + 1 = 2 + -2x + 7 + -12x Reorder the terms: 1 + 1 + -7x = 2 + -2x + 7 + -12x Combine like terms: 1 + 1 = 2 2 + -7x = 2 + -2x + 7 + -12x Reorder the terms: 2 + -7x = 2 + 7 + -2x + -12x Combine like terms: 2 + 7 = 9 2 + -7x = 9 + -2x + -12x Combine like terms: -2x + -12x = -14x 2 + -7x = 9 + -14x Solving 2 + -7x = 9 + -14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '14x' to each side of the equation. 2 + -7x + 14x = 9 + -14x + 14x Combine like terms: -7x + 14x = 7x 2 + 7x = 9 + -14x + 14x Combine like terms: -14x + 14x = 0 2 + 7x = 9 + 0 2 + 7x = 9 Add '-2' to each side of the equation. 2 + -2 + 7x = 9 + -2 Combine like terms: 2 + -2 = 0 0 + 7x = 9 + -2 7x = 9 + -2 Combine like terms: 9 + -2 = 7 7x = 7 Divide each side by '7'. x = 1 Simplifying x = 1
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