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Simplifying -1x + 1 + 6x = -2 + 2x + 12 Reorder the terms: 1 + -1x + 6x = -2 + 2x + 12 Combine like terms: -1x + 6x = 5x 1 + 5x = -2 + 2x + 12 Reorder the terms: 1 + 5x = -2 + 12 + 2x Combine like terms: -2 + 12 = 10 1 + 5x = 10 + 2x Solving 1 + 5x = 10 + 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. 1 + 5x + -2x = 10 + 2x + -2x Combine like terms: 5x + -2x = 3x 1 + 3x = 10 + 2x + -2x Combine like terms: 2x + -2x = 0 1 + 3x = 10 + 0 1 + 3x = 10 Add '-1' to each side of the equation. 1 + -1 + 3x = 10 + -1 Combine like terms: 1 + -1 = 0 0 + 3x = 10 + -1 3x = 10 + -1 Combine like terms: 10 + -1 = 9 3x = 9 Divide each side by '3'. x = 3 Simplifying x = 3
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