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Simplifying 2(x + -6) = 9 + -5x Reorder the terms: 2(-6 + x) = 9 + -5x (-6 * 2 + x * 2) = 9 + -5x (-12 + 2x) = 9 + -5x Solving -12 + 2x = 9 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -12 + 2x + 5x = 9 + -5x + 5x Combine like terms: 2x + 5x = 7x -12 + 7x = 9 + -5x + 5x Combine like terms: -5x + 5x = 0 -12 + 7x = 9 + 0 -12 + 7x = 9 Add '12' to each side of the equation. -12 + 12 + 7x = 9 + 12 Combine like terms: -12 + 12 = 0 0 + 7x = 9 + 12 7x = 9 + 12 Combine like terms: 9 + 12 = 21 7x = 21 Divide each side by '7'. x = 3 Simplifying x = 3
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