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Simplifying 10x + 2x + 5 = 3x + 2x + -12 Reorder the terms: 5 + 10x + 2x = 3x + 2x + -12 Combine like terms: 10x + 2x = 12x 5 + 12x = 3x + 2x + -12 Reorder the terms: 5 + 12x = -12 + 3x + 2x Combine like terms: 3x + 2x = 5x 5 + 12x = -12 + 5x Solving 5 + 12x = -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. 5 + 12x + -5x = -12 + 5x + -5x Combine like terms: 12x + -5x = 7x 5 + 7x = -12 + 5x + -5x Combine like terms: 5x + -5x = 0 5 + 7x = -12 + 0 5 + 7x = -12 Add '-5' to each side of the equation. 5 + -5 + 7x = -12 + -5 Combine like terms: 5 + -5 = 0 0 + 7x = -12 + -5 7x = -12 + -5 Combine like terms: -12 + -5 = -17 7x = -17 Divide each side by '7'. x = -2.428571429 Simplifying x = -2.428571429
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