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Simplifying 7 + -5(3x + -2) + -6x = 22 Reorder the terms: 7 + -5(-2 + 3x) + -6x = 22 7 + (-2 * -5 + 3x * -5) + -6x = 22 7 + (10 + -15x) + -6x = 22 Combine like terms: 7 + 10 = 17 17 + -15x + -6x = 22 Combine like terms: -15x + -6x = -21x 17 + -21x = 22 Solving 17 + -21x = 22 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + -21x = 22 + -17 Combine like terms: 17 + -17 = 0 0 + -21x = 22 + -17 -21x = 22 + -17 Combine like terms: 22 + -17 = 5 -21x = 5 Divide each side by '-21'. x = -0.2380952381 Simplifying x = -0.2380952381
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