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Simplifying 21 + 9x = 11 + 2(-10 + 7x) 21 + 9x = 11 + (-10 * 2 + 7x * 2) 21 + 9x = 11 + (-20 + 14x) Combine like terms: 11 + -20 = -9 21 + 9x = -9 + 14x Solving 21 + 9x = -9 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. 21 + 9x + -14x = -9 + 14x + -14x Combine like terms: 9x + -14x = -5x 21 + -5x = -9 + 14x + -14x Combine like terms: 14x + -14x = 0 21 + -5x = -9 + 0 21 + -5x = -9 Add '-21' to each side of the equation. 21 + -21 + -5x = -9 + -21 Combine like terms: 21 + -21 = 0 0 + -5x = -9 + -21 -5x = -9 + -21 Combine like terms: -9 + -21 = -30 -5x = -30 Divide each side by '-5'. x = 6 Simplifying x = 6
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