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Simplifying 12x + -1(5x + 7) + 22 = 2x Reorder the terms: 12x + -1(7 + 5x) + 22 = 2x 12x + (7 * -1 + 5x * -1) + 22 = 2x 12x + (-7 + -5x) + 22 = 2x Reorder the terms: -7 + 22 + 12x + -5x = 2x Combine like terms: -7 + 22 = 15 15 + 12x + -5x = 2x Combine like terms: 12x + -5x = 7x 15 + 7x = 2x Solving 15 + 7x = 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. 15 + 7x + -2x = 2x + -2x Combine like terms: 7x + -2x = 5x 15 + 5x = 2x + -2x Combine like terms: 2x + -2x = 0 15 + 5x = 0 Add '-15' to each side of the equation. 15 + -15 + 5x = 0 + -15 Combine like terms: 15 + -15 = 0 0 + 5x = 0 + -15 5x = 0 + -15 Combine like terms: 0 + -15 = -15 5x = -15 Divide each side by '5'. x = -3 Simplifying x = -3
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