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Simplifying -5x + 6 = 2 + 3x + 8 Reorder the terms: 6 + -5x = 2 + 3x + 8 Reorder the terms: 6 + -5x = 2 + 8 + 3x Combine like terms: 2 + 8 = 10 6 + -5x = 10 + 3x Solving 6 + -5x = 10 + 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. 6 + -5x + -3x = 10 + 3x + -3x Combine like terms: -5x + -3x = -8x 6 + -8x = 10 + 3x + -3x Combine like terms: 3x + -3x = 0 6 + -8x = 10 + 0 6 + -8x = 10 Add '-6' to each side of the equation. 6 + -6 + -8x = 10 + -6 Combine like terms: 6 + -6 = 0 0 + -8x = 10 + -6 -8x = 10 + -6 Combine like terms: 10 + -6 = 4 -8x = 4 Divide each side by '-8'. x = -0.5 Simplifying x = -0.5
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