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Simplifying 7(3x + 2) = 10x + 9 Reorder the terms: 7(2 + 3x) = 10x + 9 (2 * 7 + 3x * 7) = 10x + 9 (14 + 21x) = 10x + 9 Reorder the terms: 14 + 21x = 9 + 10x Solving 14 + 21x = 9 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 14 + 21x + -10x = 9 + 10x + -10x Combine like terms: 21x + -10x = 11x 14 + 11x = 9 + 10x + -10x Combine like terms: 10x + -10x = 0 14 + 11x = 9 + 0 14 + 11x = 9 Add '-14' to each side of the equation. 14 + -14 + 11x = 9 + -14 Combine like terms: 14 + -14 = 0 0 + 11x = 9 + -14 11x = 9 + -14 Combine like terms: 9 + -14 = -5 11x = -5 Divide each side by '11'. x = -0.4545454545 Simplifying x = -0.4545454545
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