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Simplifying 5 + 2x + -2 = 12 + 8x + -3x Reorder the terms: 5 + -2 + 2x = 12 + 8x + -3x Combine like terms: 5 + -2 = 3 3 + 2x = 12 + 8x + -3x Combine like terms: 8x + -3x = 5x 3 + 2x = 12 + 5x Solving 3 + 2x = 12 + 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. 3 + 2x + -5x = 12 + 5x + -5x Combine like terms: 2x + -5x = -3x 3 + -3x = 12 + 5x + -5x Combine like terms: 5x + -5x = 0 3 + -3x = 12 + 0 3 + -3x = 12 Add '-3' to each side of the equation. 3 + -3 + -3x = 12 + -3 Combine like terms: 3 + -3 = 0 0 + -3x = 12 + -3 -3x = 12 + -3 Combine like terms: 12 + -3 = 9 -3x = 9 Divide each side by '-3'. x = -3 Simplifying x = -3
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