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Simplifying 9x + -21 + 9 = 2(5 + -1x) Reorder the terms: -21 + 9 + 9x = 2(5 + -1x) Combine like terms: -21 + 9 = -12 -12 + 9x = 2(5 + -1x) -12 + 9x = (5 * 2 + -1x * 2) -12 + 9x = (10 + -2x) Solving -12 + 9x = 10 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -12 + 9x + 2x = 10 + -2x + 2x Combine like terms: 9x + 2x = 11x -12 + 11x = 10 + -2x + 2x Combine like terms: -2x + 2x = 0 -12 + 11x = 10 + 0 -12 + 11x = 10 Add '12' to each side of the equation. -12 + 12 + 11x = 10 + 12 Combine like terms: -12 + 12 = 0 0 + 11x = 10 + 12 11x = 10 + 12 Combine like terms: 10 + 12 = 22 11x = 22 Divide each side by '11'. x = 2 Simplifying x = 2
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