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Simplifying -1x + 1 + 6x = -2 + 2x + 6 Reorder the terms: 1 + -1x + 6x = -2 + 2x + 6 Combine like terms: -1x + 6x = 5x 1 + 5x = -2 + 2x + 6 Reorder the terms: 1 + 5x = -2 + 6 + 2x Combine like terms: -2 + 6 = 4 1 + 5x = 4 + 2x Solving 1 + 5x = 4 + 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 = 4 + 2x + -2x Combine like terms: 5x + -2x = 3x 1 + 3x = 4 + 2x + -2x Combine like terms: 2x + -2x = 0 1 + 3x = 4 + 0 1 + 3x = 4 Add '-1' to each side of the equation. 1 + -1 + 3x = 4 + -1 Combine like terms: 1 + -1 = 0 0 + 3x = 4 + -1 3x = 4 + -1 Combine like terms: 4 + -1 = 3 3x = 3 Divide each side by '3'. x = 1 Simplifying x = 1
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