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Simplifying 7(3x + 6x) = 11(x + 2) Combine like terms: 3x + 6x = 9x 7(9x) = 11(x + 2) Remove parenthesis around (9x) 7 * 9x = 11(x + 2) Multiply 7 * 9 63x = 11(x + 2) Reorder the terms: 63x = 11(2 + x) 63x = (2 * 11 + x * 11) 63x = (22 + 11x) Solving 63x = 22 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. 63x + -11x = 22 + 11x + -11x Combine like terms: 63x + -11x = 52x 52x = 22 + 11x + -11x Combine like terms: 11x + -11x = 0 52x = 22 + 0 52x = 22 Divide each side by '52'. x = 0.4230769231 Simplifying x = 0.4230769231
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