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Simplifying 12x + 22 + -3x = 2x + -13 Reorder the terms: 22 + 12x + -3x = 2x + -13 Combine like terms: 12x + -3x = 9x 22 + 9x = 2x + -13 Reorder the terms: 22 + 9x = -13 + 2x Solving 22 + 9x = -13 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 22 + 9x + -2x = -13 + 2x + -2x Combine like terms: 9x + -2x = 7x 22 + 7x = -13 + 2x + -2x Combine like terms: 2x + -2x = 0 22 + 7x = -13 + 0 22 + 7x = -13 Add '-22' to each side of the equation. 22 + -22 + 7x = -13 + -22 Combine like terms: 22 + -22 = 0 0 + 7x = -13 + -22 7x = -13 + -22 Combine like terms: -13 + -22 = -35 7x = -35 Divide each side by '7'. x = -5 Simplifying x = -5
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