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Simplifying 3(x + 12) + -5x = 22 Reorder the terms: 3(12 + x) + -5x = 22 (12 * 3 + x * 3) + -5x = 22 (36 + 3x) + -5x = 22 Combine like terms: 3x + -5x = -2x 36 + -2x = 22 Solving 36 + -2x = 22 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-36' to each side of the equation. 36 + -36 + -2x = 22 + -36 Combine like terms: 36 + -36 = 0 0 + -2x = 22 + -36 -2x = 22 + -36 Combine like terms: 22 + -36 = -14 -2x = -14 Divide each side by '-2'. x = 7 Simplifying x = 7
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