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Simplifying 3x + 12 + -5x + 10 = 2x + -5x + 5 Reorder the terms: 12 + 10 + 3x + -5x = 2x + -5x + 5 Combine like terms: 12 + 10 = 22 22 + 3x + -5x = 2x + -5x + 5 Combine like terms: 3x + -5x = -2x 22 + -2x = 2x + -5x + 5 Reorder the terms: 22 + -2x = 5 + 2x + -5x Combine like terms: 2x + -5x = -3x 22 + -2x = 5 + -3x Solving 22 + -2x = 5 + -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. 22 + -2x + 3x = 5 + -3x + 3x Combine like terms: -2x + 3x = 1x 22 + 1x = 5 + -3x + 3x Combine like terms: -3x + 3x = 0 22 + 1x = 5 + 0 22 + 1x = 5 Add '-22' to each side of the equation. 22 + -22 + 1x = 5 + -22 Combine like terms: 22 + -22 = 0 0 + 1x = 5 + -22 1x = 5 + -22 Combine like terms: 5 + -22 = -17 1x = -17 Divide each side by '1'. x = -17 Simplifying x = -17
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