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Simplifying 9x + -22 = 7(x + -6) Reorder the terms: -22 + 9x = 7(x + -6) Reorder the terms: -22 + 9x = 7(-6 + x) -22 + 9x = (-6 * 7 + x * 7) -22 + 9x = (-42 + 7x) Solving -22 + 9x = -42 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -22 + 9x + -7x = -42 + 7x + -7x Combine like terms: 9x + -7x = 2x -22 + 2x = -42 + 7x + -7x Combine like terms: 7x + -7x = 0 -22 + 2x = -42 + 0 -22 + 2x = -42 Add '22' to each side of the equation. -22 + 22 + 2x = -42 + 22 Combine like terms: -22 + 22 = 0 0 + 2x = -42 + 22 2x = -42 + 22 Combine like terms: -42 + 22 = -20 2x = -20 Divide each side by '2'. x = -10 Simplifying x = -10
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