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Simplifying -1x + 1 + 7x = -2 + 3x + 9 Reorder the terms: 1 + -1x + 7x = -2 + 3x + 9 Combine like terms: -1x + 7x = 6x 1 + 6x = -2 + 3x + 9 Reorder the terms: 1 + 6x = -2 + 9 + 3x Combine like terms: -2 + 9 = 7 1 + 6x = 7 + 3x Solving 1 + 6x = 7 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 1 + 6x + -3x = 7 + 3x + -3x Combine like terms: 6x + -3x = 3x 1 + 3x = 7 + 3x + -3x Combine like terms: 3x + -3x = 0 1 + 3x = 7 + 0 1 + 3x = 7 Add '-1' to each side of the equation. 1 + -1 + 3x = 7 + -1 Combine like terms: 1 + -1 = 0 0 + 3x = 7 + -1 3x = 7 + -1 Combine like terms: 7 + -1 = 6 3x = 6 Divide each side by '3'. x = 2 Simplifying x = 2
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