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Simplifying 6x + 8 + -2x = 1 + 3x + 6 Reorder the terms: 8 + 6x + -2x = 1 + 3x + 6 Combine like terms: 6x + -2x = 4x 8 + 4x = 1 + 3x + 6 Reorder the terms: 8 + 4x = 1 + 6 + 3x Combine like terms: 1 + 6 = 7 8 + 4x = 7 + 3x Solving 8 + 4x = 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. 8 + 4x + -3x = 7 + 3x + -3x Combine like terms: 4x + -3x = 1x 8 + 1x = 7 + 3x + -3x Combine like terms: 3x + -3x = 0 8 + 1x = 7 + 0 8 + 1x = 7 Add '-8' to each side of the equation. 8 + -8 + 1x = 7 + -8 Combine like terms: 8 + -8 = 0 0 + 1x = 7 + -8 1x = 7 + -8 Combine like terms: 7 + -8 = -1 1x = -1 Divide each side by '1'. x = -1 Simplifying x = -1
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