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Simplifying 11(x + 6) + -6x = 6 + -9x Reorder the terms: 11(6 + x) + -6x = 6 + -9x (6 * 11 + x * 11) + -6x = 6 + -9x (66 + 11x) + -6x = 6 + -9x Combine like terms: 11x + -6x = 5x 66 + 5x = 6 + -9x Solving 66 + 5x = 6 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. 66 + 5x + 9x = 6 + -9x + 9x Combine like terms: 5x + 9x = 14x 66 + 14x = 6 + -9x + 9x Combine like terms: -9x + 9x = 0 66 + 14x = 6 + 0 66 + 14x = 6 Add '-66' to each side of the equation. 66 + -66 + 14x = 6 + -66 Combine like terms: 66 + -66 = 0 0 + 14x = 6 + -66 14x = 6 + -66 Combine like terms: 6 + -66 = -60 14x = -60 Divide each side by '14'. x = -4.285714286 Simplifying x = -4.285714286
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