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Simplifying 10 + 3x + -2 + x = 3x + 6 + 2x + 8 Reorder the terms: 10 + -2 + 3x + x = 3x + 6 + 2x + 8 Combine like terms: 10 + -2 = 8 8 + 3x + x = 3x + 6 + 2x + 8 Combine like terms: 3x + x = 4x 8 + 4x = 3x + 6 + 2x + 8 Reorder the terms: 8 + 4x = 6 + 8 + 3x + 2x Combine like terms: 6 + 8 = 14 8 + 4x = 14 + 3x + 2x Combine like terms: 3x + 2x = 5x 8 + 4x = 14 + 5x Solving 8 + 4x = 14 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 8 + 4x + -5x = 14 + 5x + -5x Combine like terms: 4x + -5x = -1x 8 + -1x = 14 + 5x + -5x Combine like terms: 5x + -5x = 0 8 + -1x = 14 + 0 8 + -1x = 14 Add '-8' to each side of the equation. 8 + -8 + -1x = 14 + -8 Combine like terms: 8 + -8 = 0 0 + -1x = 14 + -8 -1x = 14 + -8 Combine like terms: 14 + -8 = 6 -1x = 6 Divide each side by '-1'. x = -6 Simplifying x = -6
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