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Simplifying 8 + -5x + 2 = 3x + 2 Reorder the terms: 8 + 2 + -5x = 3x + 2 Combine like terms: 8 + 2 = 10 10 + -5x = 3x + 2 Reorder the terms: 10 + -5x = 2 + 3x Solving 10 + -5x = 2 + 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. 10 + -5x + -3x = 2 + 3x + -3x Combine like terms: -5x + -3x = -8x 10 + -8x = 2 + 3x + -3x Combine like terms: 3x + -3x = 0 10 + -8x = 2 + 0 10 + -8x = 2 Add '-10' to each side of the equation. 10 + -10 + -8x = 2 + -10 Combine like terms: 10 + -10 = 0 0 + -8x = 2 + -10 -8x = 2 + -10 Combine like terms: 2 + -10 = -8 -8x = -8 Divide each side by '-8'. x = 1 Simplifying x = 1
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