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Simplifying 22 = -6(x + -5) + -2(7x + -6) Reorder the terms: 22 = -6(-5 + x) + -2(7x + -6) 22 = (-5 * -6 + x * -6) + -2(7x + -6) 22 = (30 + -6x) + -2(7x + -6) Reorder the terms: 22 = 30 + -6x + -2(-6 + 7x) 22 = 30 + -6x + (-6 * -2 + 7x * -2) 22 = 30 + -6x + (12 + -14x) Reorder the terms: 22 = 30 + 12 + -6x + -14x Combine like terms: 30 + 12 = 42 22 = 42 + -6x + -14x Combine like terms: -6x + -14x = -20x 22 = 42 + -20x Solving 22 = 42 + -20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '20x' to each side of the equation. 22 + 20x = 42 + -20x + 20x Combine like terms: -20x + 20x = 0 22 + 20x = 42 + 0 22 + 20x = 42 Add '-22' to each side of the equation. 22 + -22 + 20x = 42 + -22 Combine like terms: 22 + -22 = 0 0 + 20x = 42 + -22 20x = 42 + -22 Combine like terms: 42 + -22 = 20 20x = 20 Divide each side by '20'. x = 1 Simplifying x = 1
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